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Title of Journal: Nonlinear Dyn

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Abbravation: Nonlinear Dynamics

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Springer Netherlands

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DOI

10.1007/s12221-012-1341-z

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1573-269X

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Lax pair conservation laws and multishock wave

Authors: YunHu Wang Hui Wang Chaolu Temuer
Publish Date: 2014/06/17
Volume: 78, Issue: 2, Pages: 1101-1107
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Abstract

The integrability and multishock wave solutions of the DJKM equation are studied by means of Bell polynomials scheme Hirota bilinear method and symbolic computation A more generalized bilinear system of the DJKM equation is constructed via Bell polynomials scheme Moreover Lax pair and infinite conservation laws of this equation are first obtained via its corresponding Bellpolynomialstype Bäcklund transformation Furthermore the multishock wave solutions are also obtained by applying standard Hirota bilinear method and the propagation and collision of shock waves are graphically demonstrated by graphs

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