Multi-Soliton Excitations and Chaotic Patterns for the (2+1)-Dimensional Breaking-Soliton System

The double SG equation arises in many physical systems like the spin dynamics in the B phase of superfluid 3 He [4], some features of the propagation of resonant ultrashort

Evolution and interaction of the solitons are plotted, and the self-induced transparency effect caused by the doped erbium atoms is found to lead to the change of the soliton

We employ the Cole-Hopf transformation and the Hirota bilinear method to derive multiple-soliton solutions and multiple singular soliton solutions for these equations. The

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

Starting from a projective equation and a linear variable separation approach, some solitary wave solutions with arbitrary functions for the (2+1)-dimensional breaking soliton

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