Multi-symplectic simulations of W/M-shape-peaks solitons and cuspons for FORQ equation

DOI10.1016/j.aml.2023.108772zbMath1525.37079MaRDI QIDQ6114999

Zhijun Qiao, Thomas J. Bridges, Zhengqi Han, Wei-Peng Hu

Publication date: 15 August 2023

Published in: Applied Mathematics Letters (Search for Journal in Brave)

zbMATH Keywords

conservation lawsmulti-symplectic structurecusponsshape-peaks solitons

Mathematics Subject Classification ID

Soliton equations (35Q51) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15) Soliton solutions (35C08) General theory of infinite-dimensional Hamiltonian and Lagrangian systems, Hamiltonian and Lagrangian structures, symmetries, conservation laws (37K06)

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Cites Work

• Multi-symplectic methods for membrane free vibration equation
• On a class of physically important integrable equations
• Symplectic structures, their Bäcklund transformations and hereditary symmetries
• Multisymplectic geometry, variational integrators, and nonlinear PDEs
• Backward error analysis for multi-symplectic integration methods
• Multisymplectic box schemes and the Korteweg-de Vries equation.
• Generalized multi-symplectic integrators for a class of Hamiltonian nonlinear wave PDEs
• On multi-symplectic partitioned Runge-Kutta methods for Hamiltonian wave equations
• Multi-symplectic method for peakon-antipeakon collision of quasi-Degasperis-Procesi equation
• Hamiltonian description of stratified fluid dynamics
• A new integrable equation with cuspons and W/M-shape-peaks solitons
• New integrable hierarchy, its parametric solutions, cuspons, one-peak solitons, and M/W-shape peak solitons
• Multi-symplectic structures and wave propagation
• Wave Structure and Nonlinear Balances in a Family of Evolutionary PDEs
• Multisymplectic geometry and multisymplectic Preissmann scheme for the KdV equation
• Linear PDEs and Numerical Methods That Preserve a Multisymplectic Conservation Law
• Multi-symplectic integrators: numerical schemes for Hamiltonian PDEs that conserve symplecticity