Article ID Journal Published Year Pages File Type
6420745 Applied Mathematics and Computation 2014 12 Pages PDF
Abstract

A semidiscrete Boussinesq system has been introduced by the means of recombination flows from a 4×4 spectral problem. We construct the Darboux transformation and explicit solutions for the semidiscrete Boussinesq system. We can find that the 1-fold Darboux-transformation solution of the system possesses more than one traveling waves. Especially, one of solutions comes into being two solitary waves after a period of time, which means that properties of solutions to semidiscrete integrable systems are richer than the ones in continuous integrable systems.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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