Publications:
Sl No 
Authors 
Title 
Journal 
Volume 
Pages 
Year 
Publisher 
1 
S.N. Bora, M. Rahman and M.G. Satish 
Recent mathematical developments in potential theories applied to diffraction of water waves 
Advances in Fluid Mechanics, (Potential Flow of Fluids) 
6 
199243 
1995 
Wessex Institute of Technology 
2 
S.N. Bora and M. Rahman 
Recent mathematical developments of potential theory applied to diffraction of water waves, Part I. Circular Cylinders 
Journal of Assam Science Society 
37(1) 
121 
1995 
Assam Science Society 
3 
S.N. Bora and M. Rahman 
Recent mathematical developments of potential theory applied to diffraction of water waves, Part II. Spherical Structures 
Journal of Assam Science Society 
37(2) 
6682 
1995 
Assam Science Society 
4 
M. Rahman, S.N. Bora and M.G. Satish 
A note on secondorder wave forces on a circular cylinder in finite water depth 
Applied Mathematics Letters 
12 
6370 
1999 
Elsevier 
5 
S.N. Bora 
Exciting forces due to diffraction of water waves on a sphere in finite depth 
WSEAS Transactions on Mathematics 
1(4) 
180185 
2002 
WSEAS 
6 
S.N. Bora 
Hydrodynamic coefficients for water wave diffraction by spherical structures 
Sadhana, Academy Proceedings in Engineering Sciences 
29 (6) 
617628 
2004 
Indian Academy of Sciences 
7 
S.C. Martha and S.N. Bora 
Water wave diffraction by a small deformation of the ocean bottom for oblique incidence doi: 10.1007/s007070060358z 
Acta Mechanica

185 
165177 
2006 
Springer 
8 
S.C. Martha and S.N. Bora 
Reflection and transmission coefficients for water wave scattering by a seabed with small undulation doi: 10.1002/zamm.200610317 
ZAMM (Zeitschrift fur Angewandte Mathematik und Mechanik) 
87( 4) 
314321 
2007 
WileyVCH 
9 
S.C. Martha and S.N. Bora 
Oblique surface wave propagation over small undulation of the bottom of an ocean doi: 10.1080/03091920701208186 
Geophysical and Astrophysical Fluid Dynamics

101(2) 
6580 
2007 
Taylor and Francis 
10 
S.C. Martha, S.N. Bora and A. Chakrabarti 
Oblique water wave scattering by small undulations on a porous seabed doi:10.1016/j.apor.2007.07.001 
Applied Ocean Research 
29(12) 
8690 
2008 
Elsevier 
11 
S.N. Bora and S.C. Martha 
Scattering of Surface Waves over an Uneven Seabed doi:10.1016/j.aml.2007.12.005 
Applied Mathematics Letters 
21 
10821089 
2008 
Elsevier 
12 
S.C. Martha, S.N. Bora and A. Chakrabarti 
Interaction of surface water waves with small bottom undulation on a seabed 
Journal of Applied Mathematics and Informatics 
27(56) 
10171031 
2009 
Korean Society for Computational and Applied Mathematics 
13 
S. Mohapatra and S.N. Bora 
Water wave interaction with a sphere in a twolayer fluid flowing through a channel of finite depth doi: 10.1007/s004190080248z 
Archive of Applied Mechanics

79 
725740 
2009 
Springer 
14 
S. Mohapatra and S.N. Bora 
Propagation of oblique waves over small bottom undulation in an icecovered twolayer fluid doi: 10.1080/03091920903071077 
Geophysical and Astrophysical Fluid Dynamics

103 (5) 
347374 
2009 
Taylor and Francis 
15 
S. Mohapatra and S.N. Bora 
Scattering of internal waves in a twolayer fluid flowing through a channel with small undulations doi: 10.1007/s1023600902145 
Ocean Dynamics

59 (4) 
615625 
2009 
Springer 
16 
S. Mohapatra and S.N. Bora 
Radiation of water waves by a submerged sphere in an icecovered twolayer fluid of finite depth 
Journal of Advanced Research in Applied Mathematics 
2(1) 
446463 
2010 
Institute of Advanced Scientific Research 
17 
G. Barua and S.N. Bora 
Hydraulics of a partially penetrating well with skin zone in a confined aquifer doi:10.1016/j.advwatres.2010.09.008 
Advances in Water Resources 
33 
15751587 
2010 
Elsevier 
18 
S. Mohapatra and S.N. Bora 
Reflection and transmission of water waves in a twolayer fluid flowing through a channel with undulating bed doi: 10.1002/zamm.200800216 
ZAMM (Zeitschrift fur Angewandte Mathematik und Mechanik) 
91 (1) 
4656 
2011 
WileyVCH 
19 
S. Mohapatra and S.N. Bora 
Exciting forces due to interaction of water waves with a submerged sphere in an icecovered twolayer fluid of finite depth doi:10.1016/j.apor.2011.07.008 
Applied Ocean Research 
34 
187197 
2012 
Elsevier 
20 
S.N. Bora, S.C. Martha and A. Chakrabarti 
Scattering of surface waves by small undulation on a porous seabed: a Fourier transform approach 
Journal of Assam Academy of Mathematics 
4 
17 
2012 
Assam Academy of Mathematics 
21 
S. Mohapatra and S.N. Bora 
Oblique wave scattering by an impermeable oceanbed of variable depth in a twolayer fluid with icecover doi: 101007/s0003301202103 
ZAMP (Zeitschrift fuer Angewandte Mathematik und Physik) 
63 
879903 
2012 
Springer 
22 
S. Mohapatra and S.N. Bora 
Oblique water wave scattering by bottom undulation in a twolayer fluid flowing through a channel doi: 10.1007/s1180401211332 
Journal of Marine Science and Application

11 
276285 
2012 
Springer 
23 
M. Hassan and S.N. Bora 
Exciting forces for a pair of coaxial hollow cylinder and bottommounted cylinder in water of finite depth doi:10.1016/j.oceaneng.2012.05.013 
Ocean Engineering 
50 
3843 
2012 
Elsevier 
24 
S. Saha and S.N. Bora 
Trapped modes in a twolayer fluid of finite depth bounded above by a rigid lid doi: 10.1016/j.wavemoti.2013.04.009 
Wave Motion

50 
10501060 
2013 
Elsevier 
25  M. Hassan and S.N. Bora 
Exciting forces for a wave energy device consisting of a pair of coaxial cylinders in water of finite depth doi: 10.1007/s1180401312079 
Journal of Marine Science and Application

12  315324  2013  Springer 
26  S. Das and S.N. Bora 
Wave damping by a vertical porous structure placed near and away from a rigid vertical wall doi:10.1080/03091929.2013.834051 
Geophysical and Astrophysical Fluid Dynamics

108(2) 
147167  2014  Taylor and Francis 
27 
M. Hassan and S.N. Bora 
Rotational motion due to the interaction of water waves with a pair of coaxial cylinders in water of finite depth doi: 10.5373/jaram.1682.012713 
Journal of Advanced Research in Applied Mathematics 
6 
4865 
2014 
Institute of Advanced Scientific Research 
28  S. Saha and S.N. Bora 
Flexural gravity waves trapped in a twolayer fluid of finite depthdoi:10.1016/j.apor.2013.08.005 
Applied Ocean Research

44  112  2014  Elsevier 
29  S. Das and S.N. Bora 
Reflection of oblique ocean water waves by a vertical rectangular porous structure placed on an elevated horizontal bottom doi: 10.1016/j.oceaneng.2014.02.035 
Ocean Engineering  82  135143  2014  Elsevier 
30  N. Choudhary and S.N. Bora 
Linear sloshing in a vertical circular cylinder with curved bottom in the presence of a rigid baffle doi: 10.5373/jaram.1982.022514 
Journal of Advanced Research in Applied Mathematics  6(4)  2945  2014  Institute of Advanced Scientific Research 
31  M. Hassan and S.N. Bora 
Surge Hydrodynamic Coefficients by a Pair of two Coaxial Vertical Cylinders in Water of Finite Depth 
Development and Applications of Oceanic Engineering  (Accepted on June 20, 2014)  2014  
32  M. Hassan and S.N. Bora 
Hydrodynamic coefficients in surge for a radiating hollow cylinder placed above a coaxial cylinder at finite ocean depth doi: 10.1007/s0077301402803 
Journal of Marine Science and Technology  19  450461  2014  Springer 
33  S. Das and S.N. Bora 
Reflection of oblique ocean water waves by a vertical porous structure placed on a multistep impermeable bottom doi:10.1016/j.apor.2014.07.001 
Applied Ocean Research  47  373385  2014  Elsevier 
34  S. Das and S.N. Bora 
Damping of oblique ocean waves by a vertical porous structure placed on a multistep bottom doi: 10.1007/s1180401412817 
Journal of Marine Science and Application  13  362376  2014  Springer 
35  M. Hassan and S.N. Bora 
Surge motion coefficients for a finite circular hollow cylinder radiating in water of infinite depth doi: 10.1615/InterJFluidMechRes.v42.i2 
International Journal of Fluid Mechanics Research  42(2)  95110  2015  Begellhouse 
36  S. Saha and S.N. Bora 
Elastic bottom effect on trapped waves in a twolayer fluid doi: 10.1142/S1758825115500283 
International Journal of Applied Mechanics  7(2)  150028 (15 pages)  2015  World Scientific 
37  S. Saha and S.N. Bora 
Effects of surface tension on trapped modes in a twolayer fluid doi:10.1017/S1446181115000188 
ANZIAM Journal  57  189203  2015  ANZIAM 
38  N. Choudhary and S.N. Bora 
Liquid sloshing in a circular cylindrical container
containing a twolayer fluid doi: 10.1007/s125720160176z 
International Journal of Advances in Engineering Sciences and Applied Mathematics  8(4)  240248  2016  Springer 
39  N. Choudhary and S.N. Bora 
Linear sloshing frequencies in the annular region of a circular
cylindrical container in presence of a rigid baffle doi: 10.1007/s1204601706428 
SadhanaAcademy Proceedings in Engineering Sciences  42(5)  805815  2017  Springer 
40  A. Chaddha and S.N. Bora 
Approximate controllability of impulsive neutral stochastic
differential equations driven by Poisson jumps doi:10.1007/s1088301693481 
Journal of Dynamical and Control Systems  24  101128  2018  Springer 
41  A. Chaddha, S.N. Bora and R. Shakthivel  Approximate controllability of impulsive stochastic fractional differential equations with nonlocal conditions doi: 10.12732/dsa.v27i1.1  Dynamic Systems and Applications  27(1)  129  2018  Dynamic Publishers 
42  A. Chaddha and S.N. Bora  Asymptotic stability of neutral impulsive stochastic partial differential equation of Sobolev type with Poisson jumps doi:10.1007/s1259101703719  Differential Equations and Dynamical Systems  (Accepted on June 8, 2017)  (Online since June 19, 2017)  2017  Springer 
43  S. Saha and S.N. Bora  Trapped modes in a threelayer fluid doi: 10.1007/s1180401800059  Journal of Marine Science and Application  17  4556  2018  Springer 
44  A. Chaddha and S.N. Bora  Stability analysis for neutral stochastic differential equation of second order driven by Poisson jumps doi: 10.1063/1.5010614  Journal of Mathematical Physics  58  112703113  2017  American Institute of Physics 
45  A. Chaddha and S.N. Bora  Existence and exponential stability for neutral stochastic fractional differential equations with impulses driven by Poisson jumps doi:10.1080/17442508.2017.1402899  Stochastics  90(5)  663681  2018  Taylor and Francis 
46  S. Das and S.N. Bora  Oblique water wave damping by two submerged thin vertical porous plates of different heights doi:10.1007/s4031401705457  Computational and Applied Mathematics  37(3)  37593779  2018  Springer 
47  J. Borah and S.N. Bora  Existence of mild solution for mixed VolterraFredholm integro fractional differential equation with noninstantaneous impulses doi:10.1007/s1259101804101  Differential Equations and Dynamical Systems  (Accepted on January 31, 2018)  (Online since February 12, 2018)  2018  Springer 
48  J. Borah and S.N. Bora  Existence of mild solution of a class of nonlocal fractional order differential equation with not instantaneous impulses doi:10.1515/fca20190029  Fractional Calculus and Applied Analysis  22 (2)  495508  2019  De Gruyter 
49  A. Chaddha, R. Sakthivel and S.N. Bora  Solvability of control problem for fractional nonlinear differential inclusions with nonlocal conditions  Nonlinear Analysis: Modelling and Control  (Accepted on December 10, 2018)  2018  
50  A. Sarkar and S.N. Bora 
Hydrodynamic forces due to water wave interaction with a
bottommounted surfacepiercing compound porous cylinder
doi:10.1016/j.oceaneng.2018.10.019

Ocean Engineering  171  5970  2019  Elsevier 
51  M. Hassan and S.N. Bora  Diffraction of water waves by a finite circular hollow cylinder in water of infinite depth  Applied Sciences  (Accepted on March 13, 2019)  2019  Balkan Press  
52  V. Gupta, S.N. Bora and J. J. Nieto  Dhage iterative principle for quadratic perturbation of fractional boundary value problems with finite delay doi:10.1002/mma.5643  Mathematical Methods in Applied Sciences  (Accepted on March 19, 2019)  (Online since April 16, 2019)  2019  Wiley 
53  A. Sarkar and S.N. Bora  Water wave diffraction from a surface piercing floating compound porous cylinder in finite depth doi:10.1080/03091929.162637  Geophysical and Astrophysical Fluid Dynamics  (Accepted on May 8, 2019)  (Online since June 14, 2019)  2019  Taylor and Francis 
54  J. Borah and S.N. Bora  Sufficient conditions for existence of integral solution for noninstantaneous impulsive fractional evolution equation  Indian Journal of Pure and Applied Mathemtics  (Accepted on May 30, 2019)  2019  Springer 
Conference Proceedings:
S.N. Bora, The radiation problem of a submerged sphere and the evaluation of hydrodynamic coefficients, International Conference on Recent Advances in Mathematical Sciences (ICRAMS2000), IIT Kharagpur, December 2022, 2000. (Published in Recent Trends in Mathematical Sciences EDT by J. C. Misra and S.B. Sinha, pages 117135).
S.N. Bora, Second order wave forces for a circular cylinder in finite water depth, National Seminar on Advances in Mathematical, Statistical and Computational Methods in Science and Technology, Indian School of Mines, Dhanbad, Jharkhand, November 2930, 2001. (Published in the proceedings, pages, 3342).
S.N. Bora, Exciting forces due to diffraction of water waves on a sphere in finite depth water, WSEAS International Conference on Theoretical and Applied Mathematics, Miedzyzdroje, Poland, September 15, 2002, (Published in the proceedings (CDRom), pages 19611966).
S.N. Bora, Multipole expansion method for the diffraction of water waves by a submerged spherical structure, HYDRO2002: Conference on Hydraulics, Water Resources and Ocean Engineering, IIT Bombay. Mumbai, December 1617, 2002. (Published in the proceedings, pages 363367).
S.N. Bora, Analytical solution for the second order wave loading for cylindrical structure(s), 30^{th} Conference on Fluid Mechanics and Fluid Power, National Institute of Technology Karnataka, Surathkal, December 1113, 2003. (Published in the Proceedings, pages 9299)
S.N. Bora, Associated Legendre polynomials in problems of water wave diffraction by submerged bodies, 5^{th} International Conference on Special Functions and their Applications, Lucknow, February 810, 2004 organized by the Society for Special Functions and their Applications. (Published in the Proceedings EDT by A.K. Agarwal, pages 6373)
S.C. Martha and S.N. Bora, Bessel functions in linear water wave diffraction theory, 5^{th} International Conference on Special Functions and their Applications, Lucknow, February 810, 2004, organized by the Society for Special Functions and their Applications. (Published in the Proceedings EDT by A.K. Agarwal, pages 102114)
S.C. Martha and S.N. Bora, Transformation Technique for Water Wave Scattering by a variable Bottom, International Conference on Theoretical, Applied, Computational and Experimental Mechanics (ICTACEM04), Kharagpur, December 2830, 2004, organized by Indian Institute of Technology, Kharagpur, India. (Published in the proceedings, pages 161165)
S.C. Martha and S.N. Bora, Water wave scattering by an ocean bed of small deformation, International Conference on Environmental Fluid Mechanics, March 35, 2005, organized by Indian Institute of Technology Guwahati, India. (Published in the proceedings, pages 132137)
S.C. Martha, S.N. Bora and A. Chakrabarti, Reflection of wave energy by small undulation of the seabed, the seabed, Recent Advances in Computational Mechanics and Simulations: Proc. 2^{nd} International Congress on Computational Mechanics and Simulation, Vol II, I.K. International Publishing House Pvt. Ltd., December 810, 2006, organized by Indian Institute of Technology Guwahati, India, pages 14831489.
S.C. Martha, S.N. Bora and A. Chakrabarti, Oblique Surfacewave Propagation over Sinusoidally Varying Topography, Proceedings of 51^{st} Congress of The Indian Society of Theoretical and Applied Mechanics (ISTAM), December 1821, 2006, College of Engineering, Andhra University, pages 2330.
Technical Reports:
S.N. Bora, M. Rahman and M.G. Satish, Recent mathematical developments of potential theory applied to diffraction of water waves, Department of Engineering Mathematics, DalTech, Dalhousie University, Canada (1994), 69 pages.
S.N. Bora and M. Rahman, Effects of diffraction and radiation on a submerged sphere, Department of Engineering Mathematics, DalTech, Dalhousie University, Canada (1999), 24 pages.