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Generalized Cauchy Matrix Approach for Lattice Boussinesq-Type Equations 被引量：3

Generalized Cauchy Matrix Approach for Lattice Boussinesq-Type Equations
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摘要 The authors generalize the Cauchy matrix approach to get exact solutions to the lattice Boussinesq-type equations:lattice Boussinesq equation,lattice modified Boussinesq equation and lattice Schwarzian Boussinesq equation.Some kinds of solutions including soliton solutions,Jordan block solutions and mixed solutions are obtained. The authors generalize the Cauchy matrix approach to get exact solutions to the lattice Boussinesq-type equations： lattice Boussinesq equation, lattice modified Boussinesq equation and lattice Schwarzian Boussinesq equation. Some kinds of solutions including soliton solutions, Jordan block solutions and mixed solutions are obtained.
作者 Songlin ZHAO Dajun ZHANG Ying SHI
机构地区 Department of Mathematics
出处 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2012年第2期259-270,共12页 数学年刊（B辑英文版）
基金 Project supported by the National Natural Science Foundation of China (No.11071157) the Shanghai Leading Academic Discipline Project (No.J50101) the Postgraduate Innovation Foundation of Shanghai University (No.SHUCX111027)
关键词 BOUSSINESQ型方程 CAUCHY 矩阵方法 BOUSSINESQ方程 SCHWARZ 广义 晶格 精确解 Lattice Boussinesq-type equations, Generalized Cauchy matrixapproach, Exact solutions
分类号 O353.2 [理学—流体力学] O177 [理学—基础数学]
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参考文献29

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引证文献3

二级引证文献11

Chinese Annals of Mathematics,Series B
2012年 第2期

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