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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/bf02812404

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1573-269X

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The Riemann–Bäcklund method to a quasiperiodic wav

Authors: Zhonglong Zhao Bo Han
Publish Date: 2016/11/24
Volume: 87, Issue: 4, Pages: 2661-2676
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Abstract

In this paper the Riemann–Bäcklund method is extended to a generalized variable coefficient 2+1dimensional Korteweg–de Vries equation The soliton and quasiperiodic wave solutions are investigated systematically The relations between the quasiperiodic wave solutions and the soliton solutions are rigorously established by a limiting procedure It is proved that the periodic wave solutions tend to the soliton solutions under a small amplitude limit Furthermore the propagation characteristics of the soliton solutions and periodic wave solutions are discussed through the graphical analysis

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