Journal of Pure and Applied Mathematics: Advances and Applications
EQUATIONS[1] M. J. Ablowitz and P. A. Clarkson, Solitons, Nonlinear Evolution
Equations and In-verse Scattering, Cambridge University Press,
1991.
[2] M. Abramowitz and I. Stegun, Handbook of Mathematical Functions,
Dover, 1991.
[3] A. R. Chowdhury, B. Dasgupta and N. N. Rao, Painleve analysis and
Backlund transformations for coupled generalised
Schrodinger-Boussinesq system, Chaos solitons fractals 9 (1997),
1747-1753.
[4] E. G. Fan, Multiple travelling wave solutions of nonlinear
evolution equations using a unified algebraic method, J. Phys. A 35
(2002), 6853-6872.
[5] E. Fan and J. Zhang, Applications of the Jacobi elliptic function
method to special-type nonlinear equations, Phys. Letts. A 305 (2002),
383-392.
[6] Z. Fu, S. K. Liu, S. D. Liu and Q. Zhao, New Jacobi elliptic
function expansion and new periodic solution of nonlinear wave
equation, Phys. Letts. A 290 (2002), 72-76.
[7] C. S. Gardner, J. M. Greene, M. D. Kruskal and R. M. Miura, Method
for solving Korteweg- de Vries equation, Phys. Rev. Letts. 19 (1967),
1095-1097.
[8] H. Hase and J. Satsuma, An N-soliton solution for the nonlinear
Schrodinger equation coupled to the Boussinesq equation, J. Phys. Soc.
57 (1988), 679-682.
[9] W. Hereman, A. Korpel and P. P. Banerjee, A general physical
approach to solitary wave construction from linear solutions, Wave
Motion 7 (1985), 283-290.
[10] R. Hirota, Exact solution of the Korteweg- de Vries equation for
multiple collision of solitons, Phys. Rev. Letts. 27 (1971),
1192-1194.
[11] A. H. Khater, M. M. Hassan and R. S. Temsah, Cnoidal wave
solutions for a class of fifth-order KdV equations, Math. and Comp. in
Simulation 70 (2005), 221-226.
[12] A. H. Khater, M. M. Hassan, E. V. Krishnan and Y. Z. Peng,
Applications of elliptic functions to ion-acoustic plasma waves,
European Phys. J D 50 (2008), 177-184.
[13] E.V. Krishnan, Series solutions for a coupled wave equation, Int.
J. Diff. Eqs. and Applics. 8 (2003), 13-22.
[14] E. V. Krishnan and Y. Peng, Exact solution of some nonlinear
evolution equations using Weierstrass elliptic function method, Int.
J. of Pure and Appl. Math. Sciences 2 (2005), 14-22.
[15] E. V. Krishnan and Y. Peng, A new solitary wave solution for the
new Hamiltonian amplitude equation, J. Phys. Soc. 74 (2005),
896-897.
[16] E. V. Krishnan and Z. Y. Yan, Jacobian elliptic function
solutions using Sinh-Gordon equation expansion method, Int. J. of
Appl. Math. and Mech. 2 (2006), 1-10.
[17] G. L. Lamb, Analytical description of ultra short optical pulse
propagation in a resonant medium, Rev. Mod. Phys. 43 (1971),
99-124.
[18] S. K. Liu, Z. Fu, S. D. Liu and Q. Zhao, Jacobi elliptic function
method and periodic wave solutions of nonlinear wave equations, Phys.
Letts. A 289 (2001), 69-74.
[19] W. Malfliet, Solitary wave solutions of nonlinear wave equations,
Am. J. Phys. 60 (1992), 650-655.
[20] Y. Peng, Exact periodic wave solutions to a new Hamiltonian
amplitude equation, J. Phys. Soc. 72 (2003), 1356-1359.
[21] Y. Peng, New Exact solutions to a new Hamiltonian amplitude
equation, J. Phys. Soc. 72 (2003), 1889-1890.
[22] Y. Peng, New exact solutions to a new Hamiltonian amplitude
equation II, J. Phys. Soc. 73 (2004), 1156-1158.
[23] Z. Y. Yan, A sinh-Gordon equation expansion method to construct
doubly periodic solutions for nonlinear differential equations, Chaos
Solitons Fractals 16 (2003), 291-297.
