论文信息 - New Exact Periodic Solitary-Wave Solutions for New (2+1)-Dimensional KdV Equation

New Exact Periodic Solitary-Wave Solutions for New (2+1)-Dimensional KdV Equation

The extended homoclinic test function method is a kind of classic, efficient and well-developed method to solve nonlinear evolution equations. In this paper, with the help of this approach, we obtain new exact solutions (including kinky periodic solitary-wave solutions, periodic soliton solutions, and cross kink-wave solutions) for the new (2+1)-dimensional KdV equation. These results enrich the variety of the dynamics of higher-dimensional nonlinear wave field.

Dai Zheng-de | Wang Chuan-Jian | Mu Gui | Lin Song-Qing

[1] Dai Zheng-de,et al. Exact Periodic Solitary-Wave Solution for KdV Equation , 2008 .

[2] Ji-Huan He,et al. Exp-function method for nonlinear wave equations , 2006 .

[3] Ruoxia Yao,et al. New exact solutions for three nonlinear evolution equations , 2002 .

[4] New exact travelling wave solutions for the Ostrovsky equation , 2008 .

[5] Chuntao Yan. A simple transformation for nonlinear waves , 1996 .

[6] Zuntao Fu,et al. New Jacobi elliptic function expansion and new periodic solutions of nonlinear wave equations , 2001 .

[7] Shoufeng Shen. Lie symmetry analysis and Painlevé analysis of the new (2+1)-dimensional KdV equation , 2007 .

[8] P. Clarkson,et al. Solitons, Nonlinear Evolution Equations and Inverse Scattering: References , 1991 .

[9] Abdul-Majid Wazwaz,et al. The variational iteration method for a reliable treatment of the linear and the nonlinear Goursat problem , 2007, Appl. Math. Comput..

[10] C. Gu,et al. Soliton theory and its applications , 1995 .

[11] Mingliang Wang. Exact solutions for a compound KdV-Burgers equation , 1996 .

[12] Mingliang Wang,et al. Periodic wave solutions to a coupled KdV equations with variable coefficients , 2003 .