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- Malfliet, W. The tanh method: 1. Exact solutions of nonlinear evolution and wave equations. Physica Scripta, 1996, 54, 563-568.
- He, J.H. and Wu, X.H. Exp-function method for nonlinear wave equations. Chaos Solitons and Fractals, 2006, 30, 700- 708.
- Liu, J., Yang, L. and Yang, K., Jacobi elliptic function solutions of some nonlinear PDEs. Physics Letters A, 2004, 325, 268-275.
- Peng, Y. Exact periodic wave solutions to a new Hamiltonian amplitude equation. Journal of the Physical Society of Japan, 2003, 72, 1356-1359.
- Krishnan, E.V. and Peng, Y. A new solitary wave solution for the new Hamiltonian amplitude equation. Journal of the Physical Society of Japan, 2005, 74, 896-897.
- Krishnan, E.V. and Biswas, A., Solutions to the Zakharov-Kuznetsov equation with higher order nonlinearity by mapping and ansatz methods. Physics of Wave Phenomena, 2010, 18, 256-261.
- Alzaidy, J.F. Extended mapping method and its applications to nonlinear evolution equations. Journal of Applied Mathematics, 2012, Article ID 597983, 14 pages.
- Hirota, R. and Satsuma, J. Soliton solutions of a coupled Korteweg-de Vries equation. Physics Letters A, 1981, 85, 407-408 .
- Dodd, R. and Fordy, A.P. On the integrability of a system of coupled KdV equations. Physics Letters A, 1982, 89, 168-170 .
- Krishnan, E.V. Remarks on a system of coupled nonlinear wave equations. Journal of Mathematical Physics, 1990, 31, 1155-1156.
- Wang, M.L., Solitary wave solutions for variant Boussinesq equations. Physics Letters A, 1995, 199, 169-172
- Lawden, D.F., Elliptic Functions and Applications, Springer Verlag, 1989.
- Peng, Y.Z. and Krishnan, E.V. Exact travelling wave solutions to the (3+1)-dimensional Kadomtsev-Petviashvili equation. Acta Physica Polonica, 2005, 108, 421-428.
- Gurses, M. and Peckcan, A. 2+1 KdV(N) equations. Journal of Mathematical Physics, 2011, 52, 1-14.
- Wazwaz, A.M. A modified KdV-type equation that admits a variety of travelling wave solutions: kinks, solitons. peakons and cuspons, Physica Scripta, 2012, 86, 1-6.
- Ebadi, G., Krishnan, E.V., Labidi, M. Zerrard, E. and Biswas, A. Analytical and numerical solutions to the Davey-Stewartson equation with power law nonlinearity. Waves in Random and Complex Media, 2011, 21, 559-590.
References
Malfliet, W. The tanh method: 1. Exact solutions of nonlinear evolution and wave equations. Physica Scripta, 1996, 54, 563-568.
He, J.H. and Wu, X.H. Exp-function method for nonlinear wave equations. Chaos Solitons and Fractals, 2006, 30, 700- 708.
Liu, J., Yang, L. and Yang, K., Jacobi elliptic function solutions of some nonlinear PDEs. Physics Letters A, 2004, 325, 268-275.
Peng, Y. Exact periodic wave solutions to a new Hamiltonian amplitude equation. Journal of the Physical Society of Japan, 2003, 72, 1356-1359.
Krishnan, E.V. and Peng, Y. A new solitary wave solution for the new Hamiltonian amplitude equation. Journal of the Physical Society of Japan, 2005, 74, 896-897.
Krishnan, E.V. and Biswas, A., Solutions to the Zakharov-Kuznetsov equation with higher order nonlinearity by mapping and ansatz methods. Physics of Wave Phenomena, 2010, 18, 256-261.
Alzaidy, J.F. Extended mapping method and its applications to nonlinear evolution equations. Journal of Applied Mathematics, 2012, Article ID 597983, 14 pages.
Hirota, R. and Satsuma, J. Soliton solutions of a coupled Korteweg-de Vries equation. Physics Letters A, 1981, 85, 407-408 .
Dodd, R. and Fordy, A.P. On the integrability of a system of coupled KdV equations. Physics Letters A, 1982, 89, 168-170 .
Krishnan, E.V. Remarks on a system of coupled nonlinear wave equations. Journal of Mathematical Physics, 1990, 31, 1155-1156.
Wang, M.L., Solitary wave solutions for variant Boussinesq equations. Physics Letters A, 1995, 199, 169-172
Lawden, D.F., Elliptic Functions and Applications, Springer Verlag, 1989.
Peng, Y.Z. and Krishnan, E.V. Exact travelling wave solutions to the (3+1)-dimensional Kadomtsev-Petviashvili equation. Acta Physica Polonica, 2005, 108, 421-428.
Gurses, M. and Peckcan, A. 2+1 KdV(N) equations. Journal of Mathematical Physics, 2011, 52, 1-14.
Wazwaz, A.M. A modified KdV-type equation that admits a variety of travelling wave solutions: kinks, solitons. peakons and cuspons, Physica Scripta, 2012, 86, 1-6.
Ebadi, G., Krishnan, E.V., Labidi, M. Zerrard, E. and Biswas, A. Analytical and numerical solutions to the Davey-Stewartson equation with power law nonlinearity. Waves in Random and Complex Media, 2011, 21, 559-590.