Jacobi Elliptic Function Solutions for (2 + 1) Dimensional Boussinesq and Kadomtsev-Petviashvili Equation

References

[1] Gegenhasi and X. B. Hu, “A (2 + 1)-Dimensional Sinh-Gordon Equation and Its Pfaffian Generalization,” Physics Letters A, Vol. 360, No. 3, 2007, pp. 439-447.
doi:10.1016/j.physleta.2006.07.031

[2] J. L. Zhang and Y. M. Wang, “Exact Solutions to Two Nonlinear Equations,” Acta Physica Sinca, Vol. 52, 2003, pp. 1574-1578.

[3] W. L. Chan and X. Zhang, “Symmetries, Conservation Laws and Hamiltonian Structures of the Non-Isospectral and Variable Coefficient KdV and MKdV Equations,” Journal of Physics A: Mathematical and General, Vol. 28, No. 2, 1995, pp. 407-412.
doi:10.1088/0305-4470/28/2/016

[4] Z. N. Zhu, “Soliton-Like Solutions of Generalized KdV Equation with External Force Term,” Acta Physica Sinca, Vol. 41, 1992, pp. 1561-1566.

[5] C. Xiang, “Analytical Solutions of KdV Equation with Relaxation Effect of Inhomogeneous Medium,” Applied Mathematics and Computation, Vol. 216, No. 8, 2010, pp. 2235-2239. doi:10.1016/j.amc.2010.03.077

[6] T. Brugarino and P. Pantano, “The Integration of Burgers and Korteweg-de Vries Equations with Nonuniformities,” Physics Letters A, Vol. 80, No. 4, 1980, pp. 223-224.
doi:10.1016/0375-9601(80)90005-5

[7] C. Tian and L. G. Redekopp, “Symmetries and a Hierarchy of the General KdV Equation,” Journal of Physics A: Mathematical and General, Vol. 20, No. 2, 1987, pp. 359-366. doi:10.1088/0305-4470/20/2/021

[8] J. F. Zhang and F. Y. Chen, “Truncated Expansion Method and New Exact Soliton-Like Solution of the General Variable Coeffcient KdV Equation,” Acta Physica Sinca, Vol. 50, 2001, pp. 1648-1650.

[9] D. S. Li and H. Q. Zhang, “Improved Tanh-Function Method and the New Exact Solutions for the General Variable Coefficient KdV Equation and MKdV Equation,” Acta Physica Sinca, Vol. 52, 2003, pp. 1569-1573.

[10] Z. Y. Yan and H. Q. Zhang, “Exact Soliton Solutions of the Variable Coefficient KdV-MKdV Equation with Three Arbitrary Functions,” Acta Physica Sinca, Vol. 48, 1999, pp. 1957-1961.

[11] Z. T. Fu, S. D. Liu and S. K. Liu, “New Jacobi Ellitic Function Expansion and New Periodic Solutions of Nonlinear Wave Equations,” Physics Letters A, Vol. 290, No. 1-2, 2001, pp. 72-76.
doi:10.1016/S0375-9601(01)00644-2

[12] F. J. Chen and J. F. Zhang, “Soliton-Like Solution for the (2 + 1)-Dimensional Variable Coefficient Kadomtsev-Petviashvili Equation,” Acta Armamentar, Vol. 24, 2003, pp. 389-391.

[13] M. Malfliet and E. Wieers, “A Nonlinear Theory of Charged-Particle Stopping in Non-Ideal Plasmas,” Journal of Plasma Physics, Vol. 56, No. 3, 1996, pp. 441-443.
doi:10.1017/S0022377800019401

[14] E. Date, M. Jimbo and M. Kashiwara, “Transformation Groups for Soliton Equations, IV. A New Hierarchy of Soliton Equations of KP Type,” Physica D: Nonlinear Phenomena, Vol. 4, No. 3, 1982, pp. 343-365.
doi:10.1016/0167-2789(82)90041-0

[15] M. Jimbo and T. Miwa, “Solitons and Infinite-Dimen-Sional Lie Algebras,” Publications of the Research Institute for Mathematical Sciences, Vol. 19, No. 3, 1983, pp. 943-1001.

[16] B. Zheng, “Travelling Wave Solutions of Two Nonlinear Evolution Equations by Using The G’/G-Expansion Method,” Applied Mathematics and Computation, 2010.
doi:10.1016/j.mac.2010.12.052.