New transformations from the nonlinear sine-Gordon equation are shown in this Letter, based on them a new approach is proposed to construct exact periodic solutions to nonlinear equations. It is shown that more new periodic solutions can be obtained by this new approach and more shock wave solutions or solitary wave solutions can be got under their limit condition. (C) 2002 Elsevier Science B.V. All rights reserved.Physics, MultidisciplinarySCI(E)71ARTICLE5-6507-51229
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New exact solutions are obtained by means of the modified mapping method to a new Hamiltonian amplit...
In this paper, we construct new solitary solutions to nonlinear PDES by the Sine-Cosine method. More...
In this paper, the tanh and sine–cosine methods are used to construct exact periodic and soliton sol...
From the nonlinear sine-Gordon equation, new transformations are obtained in this paper, which are a...
Abstract. A new transformation method is developed using the general sine-Gordon travelling wave red...
The new solutions to elliptic equation are shown, and then the elliptic equation is taken as a trans...
From the definition of Legendre elliptic integration and Jacobi elliptic function, new transformatio...
We propose a method to deal with the general sine-Gordon equation. Several new exact travelling wave...
Abstract: A Sine-Gordon expansion method to construct new exact solutions of nonlinear differential-...
New exact solutions with built-in arbitrary functions for the (n + 1)-dimensional double sine-Gordon...
Exact solutions to some nonlinear partial differential equations, including (2 +1)-dimensional break...
Abstract:An extended mapping method is used to drive some new exact travelling wave so-lutions of no...
In this paper, the tanh and sine–cosine methods are used to construct exact periodic and soliton sol...
In this paper, the modified simple equation method is used to construct exact periodic and soliton s...
New Jacobi elliptic functions are applied in Jacobi elliptic function expansion method to construct ...
New exact solutions are obtained by means of the modified mapping method to a new Hamiltonian amplit...
In this paper, we construct new solitary solutions to nonlinear PDES by the Sine-Cosine method. More...
In this paper, the tanh and sine–cosine methods are used to construct exact periodic and soliton sol...