Application of the Weierstrass Elliptic Expansion Method to the Long-Wave and Short-Wave Resonance Interaction System

An efficient numerical method is developed for solving nonlinear wave equations by studying the propagation and stability properties of solitary waves (solitons) of the regularized

With the aid of symbolic computation and the extended F-expansion method, we construct more general types of exact non-travelling wave solutions of the (2+1)-dimensional dispersive

Recently, some exact solutions of (1) were constructed by using various methods, including travelling-wave solutions, soliton-like solutions, peri- odic wave solutions and

Moreover many nonlinear evo- lution equations have been shown to possess elliptic function solutions [2 – 4] and Jacobian elliptic func- tion solutions include not only solitary

In this work we study two partial differential equations that constitute second- and third-order approximations of water wave equations of the Korteweg – de Vries type. In

In this paper we have used a simple assump- tion and have found new solitary wave solutions for equations (1.4) and (1.5), that represent, respectively, second- and

3, one can find that the two new loop solitons possess some interesting properties, which fold in the y direction and localize in a single-valued way in the x direction look- ing like

By this choice, the dromion localized in all directions is changed into a chaotic line soliton, which presents chaotic behavior in the x-direction though still localized