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Concatenating construction of the multisymplectic schemes for \(2+1\)-dimensional sine-Gordon equation

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Publication:551710
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zbMath1217.65234MaRDI QIDQ551710

Bin Wang, Yu Shun Wang, Meng-Zhao Qin

Publication date: 21 July 2011

Published in: Science in China. Series A (Search for Journal in Brave)


zbMATH Keywords

solitons\(2+l\)-dimensional sine-Gordon equationconcatenating methodmultisymplectic scheme


Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15)


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Local structure-preserving algorithms for the Klein-Gordon-Zakharov equation ⋮ Derivation of the multisymplectic Crank-Nicolson scheme for the nonlinear Schrödinger equation ⋮ Local structure-preserving algorithms for partial differential equations ⋮ A class of weighted energy-preserving Du Fort-Frankel difference schemes for solving sine-Gordon-type equations



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