Extended Wronskian formula for solutions to the Korteweg-deVries equation

被引:4
作者
Ge, Jian-Ya [1 ]
Zhang, Yi [2 ]
Chen, Deng-Yuan [3 ]
机构
[1] Jinhua Vocat & Tech Coll, Jinhua 321007, Peoples R China
[2] Zhejiang Normal Univ, Dept Math, Jinhua 321004, Peoples R China
[3] Shanghai Univ, Dept Math, Shanghai 200436, Peoples R China
来源
ISND 2007: PROCEEDINGS OF THE 2007 INTERNATIONAL SYMPOSIUM ON NONLINEAR DYNAMICS, PTS 1-4 | 2008年 / 96卷
关键词
D O I
10.1088/1742-6596/96/1/012071
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
A matrix extension is presented for constructing a much broader class of exact solutions to the KdV equation through the Wronskian formulation. The present method can be applied to other-soliton equations.
引用
收藏
页数:8
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[31]   A REMARK ON THE KORTEWEG-DEVRIES EQUATION [J].
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JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1983, 52 (08) :2642-2648
[33]   ON THE GENERALIZED KORTEWEG-DEVRIES EQUATION [J].
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[36]   DECAY OF CONTINUOUS SPECTRUM FOR SOLUTIONS OF KORTEWEG-DEVRIES EQUATION [J].
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