New Exact Solutions and Localized Excitations in a (2+1)-Dimensional Soliton System

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

Furthermore, using the associated vector fields of the obtained symmetry, we give out the reductions by one-dimensional and two-dimensional subalgebras, and some explicit solutions

Furthermore, using the associated vector fields of the obtained symmetry, we give out the reductions by one-dimensional and two-dimensional subalgebras, and some explicit solutions

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

Truncated Painlev´e Expansion – A Unified Approach to Exact Solutions and Dromion Interactions of (2+1)-Dimensional Nonlinear Systems.. Ramaswamy Radha a,b,c , Xiao Yan Tang a , and

We have also obtained multiple periodic wave solu- tions which may degenerate to multiple dromions just as one soliton can be obtained as the limiting case of Jacobi elliptic