Non-Travelling Wave Solutions of the (2+1)-Dimensional Dispersive Long Wave System

In the recent years, many direct methods have been developed to construct travelling wave solutions to the nonlinear partial differential equations (NLPDEs), such as the

65a, 209 – 214 (2010); received November 3, 2008 / revised Oktober 7, 2009 This paper suggests a generalized F-expansion method for constructing new exact travelling wave solutions of

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

b Departamento de Matem´atica Aplicada, Universidad Rey Juan Carlos, C/ Tulip´an s/n, 28933 M´ostoles, Madrid, Spain Reprint requests to A.. We obtain the result that the

(24) For this last equation we thus obtain two travelling- wave solutions, given by substituting µ = α in (21), where α is one of the two positive real roots of (23) (we can choose

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

With the aid of symbolic computation, nine families of new doubly periodic solutions are obtained for the (2+1)-dimensional long-wave and short-wave resonance interaction (LSRI)