Article ID Journal Published Year Pages File Type
1707724 Applied Mathematics Letters 2015 6 Pages PDF
Abstract

A new hierarchy of integrable nonlinear evolution equations which contains the generalized Harry Dym type equation is proposed. The Lax pair representation and bi-Hamilton structures of this hierarchy are derived. Based on travelling wave solution approach, both implicit and explicit smooth solitons, peakon, cuspon, periodic solutions and (anti-)kink solutions of the generalized Harry Dym type equation are obtained.

Related Topics
Physical Sciences and Engineering Engineering Computational Mechanics
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