Generalized Cauchy Matrix Approach for Lattice Boussinesq-Type Equations

Citation:

Songlin ZHAO,Dajun ZHANG,Ying SHI.Generalized Cauchy Matrix Approach for Lattice Boussinesq-Type Equations[J].Chinese Annals of Mathematics B,2012,33(2):259~270
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Authors:

Songlin ZHAO; Dajun ZHANG; Ying SHI;

Foundation:

the National Natural Science Foundation of China (No. 11071157), the Shanghai Leading Academic Discipline Project (No. J50101) and the Postgraduate nnovation Foundation of Shanghai University (No. SHUCX111027).
Abstract: 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.

Keywords:

Lattice Boussinesq-type equations, Generalized Cauchy matrix approach, Exact solutions

Classification:

39A14
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