论文信息 - The periodic wave solutions and solitary wave solutions for a class of nonlinear partial differential equations

The periodic wave solutions and solitary wave solutions for a class of nonlinear partial differential equations

The periodic wave solutions for a class of nonlinear partial differential equations, including the Davey–Stewartson equations and the generalized Zakharov equations, are obtained by using the F-expansion method, which can be regarded as an overall generalization of the Jacobi elliptic function expansion method recently proposed. In the limit cases the solitary wave solutions of the equations are also obtained.

[1] Mingliang Wang,et al. Application of a homogeneous balance method to exact solutions of nonlinear equations in mathematical physics , 1996 .

[2] Boris A. Malomed,et al. Dynamics of solitary waves in the Zakharov model equations , 1997 .

[3] Paul Abbott,et al. The Jacobi elliptic-function method for finding periodic-wave solutions to nonlinear evolution equations , 2002 .

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

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

[6] Michel Remoissenet,et al. Waves called solitons , 1994 .

[7] K. Stewartson,et al. On three-dimensional packets of surface waves , 1974, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.

[8] Zuntao Fu,et al. JACOBI ELLIPTIC FUNCTION EXPANSION METHOD AND PERIODIC WAVE SOLUTIONS OF NONLINEAR WAVE EQUATIONS , 2001 .

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