论文信息 - A further extended tanh-function method and new soliton-like solutions to the integrable Broer-Kaup (BK) equations in (2+1) dimensional spaces

A further extended tanh-function method and new soliton-like solutions to the integrable Broer-Kaup (BK) equations in (2+1) dimensional spaces

Based on an extended tanh-function method, a further extended tanh-function method is suggested to obtain multiple exact solutions for nonlinear partial differential equations, which including soliton-like solutions, solitary waves and trigonometric function solutions. The validity and reliability of the method is tested by its application to the integrable Broer-Kaup equations in (2+1) dimensional spaces. More new explicit exact solutions are found.

Hongqing Zhang | De-Sheng Li | Hong-qing Zhang | De-sheng Li

[1] S. Lou,et al. Similarity reductions of the KP equation by a direct method , 1991 .

[2] E. J. Parkes,et al. Travelling solitary wave solutions to a compound KdV-Burgers equation , 1997 .

[3] Zhenya Yan,et al. Symbolic computation and new families of exact soliton-like solutions to the integrable Broer-Kaup (BK) equations in (2+1)-dimensional spaces , 2001 .

[4] Bo Tian,et al. New family of overturning soliton solutions for a typical breaking soliton equation , 1995 .

[5] B. Duffy,et al. An automated tanh-function method for finding solitary wave solutions to non-linear evolution equations , 1996 .

[6] V. V. Gudkov,et al. A family of exact travelling wave solutions to nonlinear evolution and wave equations , 1997 .

[7] Bo Tian,et al. Generalized tanh method with symbolic computation and generalized shallow water wave equation , 1997 .

[8] E. J. Parkes,et al. Travelling solitary wave solutions to a seventh-order generalized KdV equation , 1996 .

[9] W. Malfliet. Solitary wave solutions of nonlinear wave equations , 1992 .

[10] E. Fan,et al. Extended tanh-function method and its applications to nonlinear equations , 2000 .