In this paper, the bridge connecting the short pulse equation (SPE for short) with the sine-Gordon equation is applied to construct the novel solutions to the short pulse equation. It is shown that the solutions of the sine-Gordon equation can be used to obtain many different kinds of solutions to the short pulse equation with the aid of symbolic computation and plot representation of Maple. (C) 2009 Elsevier Inc. All rights reserved.Mathematics, AppliedSCI(E)EI7ARTICLE113899-390521
By using AKNS [Phys. Rev. Lett. 31 (1973) 125] system and introducing the wave function, a family of...
In this paper, dependent and independent variable transformations are introduced to solve the sinh-G...
A systematic method is presented to provide various equivalent solution formulas for exact solutions...
In this paper, dependent and independent variable transformations are introduced to solve the short ...
Exact periodic and solitary travelling-wave solutions of the short pulse equation are derived
In the present work, we consider both localized (e.g. peakon and breather) and extended waveforms (p...
This manuscript is going to seek travelling wave solutions of some coupled partial differential equa...
Abstract. A new transformation method is developed using the general sine-Gordon travelling wave red...
We propose a method to deal with the general sine-Gordon equation. Several new exact travelling wave...
In this paper we employ three recent analytical approaches to investigate the possible classes of tr...
In this paper, dependent and independent variable transformations are introduced to solve the sine-G...
In this paper we employ three recent analytical approaches to investigate the possible classes of tr...
From the nonlinear sine-Gordon equation, new transformations are obtained in this paper, which are a...
Short Pulse equation derived by Schafer and Wayne is a nonlinear partial differential equation that ...
In this paper we employ three recent analytical approaches to investigate the possible classes of tr...
By using AKNS [Phys. Rev. Lett. 31 (1973) 125] system and introducing the wave function, a family of...
In this paper, dependent and independent variable transformations are introduced to solve the sinh-G...
A systematic method is presented to provide various equivalent solution formulas for exact solutions...
In this paper, dependent and independent variable transformations are introduced to solve the short ...
Exact periodic and solitary travelling-wave solutions of the short pulse equation are derived
In the present work, we consider both localized (e.g. peakon and breather) and extended waveforms (p...
This manuscript is going to seek travelling wave solutions of some coupled partial differential equa...
Abstract. A new transformation method is developed using the general sine-Gordon travelling wave red...
We propose a method to deal with the general sine-Gordon equation. Several new exact travelling wave...
In this paper we employ three recent analytical approaches to investigate the possible classes of tr...
In this paper, dependent and independent variable transformations are introduced to solve the sine-G...
In this paper we employ three recent analytical approaches to investigate the possible classes of tr...
From the nonlinear sine-Gordon equation, new transformations are obtained in this paper, which are a...
Short Pulse equation derived by Schafer and Wayne is a nonlinear partial differential equation that ...
In this paper we employ three recent analytical approaches to investigate the possible classes of tr...
By using AKNS [Phys. Rev. Lett. 31 (1973) 125] system and introducing the wave function, a family of...
In this paper, dependent and independent variable transformations are introduced to solve the sinh-G...
A systematic method is presented to provide various equivalent solution formulas for exact solutions...