Folded Localized Excitations and Chaotic Patterns in a (2+1)-Dimensional Soliton System

For completely integrable evolution equations, three powerful methods, namely the inverse scattering method, the B¨acklund transformation method, and the Hirota bilinear method [10

Key words: Conditional Similarity Reduction Method; (2+1)-Dimensional Dispersive Long-Water Wave System; Exact Solutions; Localized Excitations. PACS numbers:

Key words: Conditional Similarity Reduction Method; (2+1)-Dimensional Dispersive Long-Water Wave System; Exact Solutions; Localized Excitations.. PACS numbers:

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

Starting from an improved mapping approach and a linear variable separation approach, new fam- ilies of variable separation solutions (including solitary wave solutions, periodic

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

By means of an extended tanh approach, new types of variable separated solutions u, v, w with two arbitrary lower-dimensional functions of the (2+1)-dimensional general