形变Boussinesq型方程族及其守恒律和Darboux变换

Abstract

Abstract:

In this paper, we propose a deformed Boussinesq-type integrable hierarchy of nonlinear evolution equations associated with a 3×3 matrix spectral problem by using the zero-curvature equation. Based on two linear spectral problems, we obtain the infinite many conservation laws of the first two members in the hierarchy. Some explicit solutions to the first deformed Boussinesq-type equation are given by utilizing the Darboux transformation.

Key words: Deformed Boussinesq-type hierarchy, Conservation laws, Darboux transformation

CLC Number:

O175

Guoliang He,Zhenzhen Zheng,Tao Xu. A Deformed Boussinesq-Type Hierarchy, Conservation Laws and Darboux Transformation[J].Acta mathematica scientia,Series A, 2020, 40(5): 1305-1318.

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References 23

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A Deformed Boussinesq-Type Hierarchy, Conservation Laws and Darboux Transformation

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