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[en] By applying the Jacobi elliptic function expansion method, the periodic solutions for a class of coupled nonlinear Klein-Gordon equations, which include coupled nonlinear Klein-Gordon equation, coupled nonlinear Klein-Gordon-Schroedinger equations and coupled nonlinear Klein-Gordon-Zakharov equations, are obtained
Journal
[en] On the basis of analysis to the projective Riccati equations, an intermediate transformation in expansion method is constructed. And this transformation is applied to solve Gardner equation, there many new kinds of travelling wave solutions including solitary wave solution are obtained, in which some are found for the first time
Journal
Chaos, Solitons and Fractals; ISSN 0960-0779; 
; v. 20(2); p. 301-309
; v. 20(2); p. 301-309
[en] The power series expansion method is proposed and applied, just like the reductive perturbation method, to reduce the complicated nonlinear equation or set of equations to be the one that can be found the exact solutions
Journal
[en] A transformation is introduced on the basis of the projective Riccati equations, and it is applied as an intermediate in expansion method to solve mKdV equation. Many kinds of travelling wave solutions including solitary wave solution are obtained, in which some are found for the first time
Journal
[en] A fractional transformation is introduced to solve modified KdV (mKdV for short) equation, where this fractional transformation is used to map the solutions of an elliptic equation to another elliptic equation. Thus, more new kinds of solutions are obtained, such as rational periodic wave solutions, rational solitary wave solutions and so on. It is shown that this method is more powerful to give more kinds of solutions
Journal
[en] New exact traveling wave solutions to the KdV-Burgers-Kuramoto equation (thereafter KBK equation) are obtained by using trigonometric function expansion method. They are compared with the solutions deduced from other methods
Journal
Chaos, Solitons and Fractals; ISSN 0960-0779; ; v. 23(2); p. 609-616
; v. 23(2); p. 609-616
[en] In this paper, based on the Lame function and Jacobi elliptic function, the perturbation method is applied to some nonlinear evolution equations, and there many multi-order solutions are derived to these nonlinear evolution equations
Journal
Chaos, Solitons and Fractals; ISSN 0960-0779; ; v. 19(4); p. 795-801
; v. 19(4); p. 795-801
[en] The cubic nonlinear Schroedinger (NLS for short) equation with new type of external heating source is derived for large amplitude equatorial envelope Rossby wave in a shear flow. And then various periodic structures for these equatorial envelope Rossby waves are obtained with the help of Jacobi elliptic functions and elliptic equation. It is shown that different types of phase-locked diabatic heating play different roles in structures of equatorial envelope Rossby wave
Journal
Chaos, Solitons and Fractals; ISSN 0960-0779; ; v. 22(2); p. 335-340
; v. 22(2); p. 335-340
[en] In this paper, a new transformation is introduced to solve triple sine-Gordon equation. It is shown that this intermediate transformation method is powerful to solve complex special type nonlinear evolution equation.
Journal
Communications in Theoretical Physics; ISSN 0253-6102; ; v. 43(6); p. 1023-1026
; v. 43(6); p. 1023-1026
[en] In this paper, two transformations are introduced to solve sinh-Gordon equation by using the knowledge of elliptic equation and Jacobian elliptic functions. It is shown that different transformations are required in order to obtain more kinds of solutions to the sinh-Gordon equation.
Journal
Communications in Theoretical Physics; ISSN 0253-6102; ; v. 45(1); p. 55-60
; v. 45(1); p. 55-60
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