Completion of the Guo-Hierarchy Integrable Coupling with Self-Consistent Sources in a Nonlinear Wave System
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Publication:5074900
DOI10.4208/eajam.200121.190921zbMath1485.35336OpenAlexW4226294202MaRDI QIDQ5074900
Wen-Xiu Ma, Han-yu Wei, En-gui Fan
Publication date: 10 May 2022
Published in: Unnamed Author (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.4208/eajam.200121.190921
KdV equations (Korteweg-de Vries equations) (35Q53) Soliton equations (35Q51) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40)
Cites Work
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- Self-consistent sources and conservation laws for nonlinear integrable couplings of the Li soliton hierarchy
- Nonlinear continuous integrable Hamiltonian couplings
- Constructing nonlinear discrete integrable Hamiltonian couplings
- Integrable theory of the perturbation equations.
- Lump, lumpoff and predictable rogue wave solutions to the (2+1)-dimensional asymmetrical Nizhnik-Novikov-Veselov equation
- Viewing the solar system via a variable-coefficient nonlinear dispersive-wave system
- The algebraic structure of discrete zero curvature equations associated with integrable couplings and application to enlarged Volterra systems
- A integrable generalized super-NLS-mKdV hierarchy, its self-consistent sources, and conservation laws
- Lump solutions to nonlinear partial differential equations via Hirota bilinear forms
- Vector semirational rogue waves for a coupled nonlinear Schrödinger system in a birefringent fiber
- Darboux transformations and rogue wave solutions of a generalized AB system for the geophysical flows
- New simple method for obtaining integrable hierarchies of soliton equations with multicomponent potential functions
- A generalized multi-component Glachette-Johnson (GJ) hierarchy and its integrable coupling system
- Modified Manakov system with self-consistent source.
- Lump, mixed lump-stripe and rogue wave-stripe solutions of a \((3+1)\)-dimensional nonlinear wave equation for a liquid with gas bubbles
- An integrable generalization of the super AKNS hierarchy and its bi-Hamiltonian formulation
- Lie group analysis, solitons, self-adjointness and conservation laws of the modified Zakharov-Kuznetsov equation in an electron-positron-ion magnetoplasma
- Shallow water in an open sea or a wide channel: auto- and non-auto-Bäcklund transformations with solitons for a generalized (2+1)-dimensional dispersive long-wave system
- Lump and interaction solutions to linear \((4+1)\)-dimensional PDEs
- Water-wave symbolic computation for the Earth, Enceladus and Titan: the higher-order Boussinesq-Burgers system, auto- and non-auto-Bäcklund transformations
- Hetero-Bäcklund transformation and similarity reduction of an extended (2+1)-dimensional coupled Burgers system in fluid mechanics
- Vector bright solitons and their interactions of the couple Fokas-Lenells system in a birefringent optical fiber
- Diversity of interaction solutions to the \((2+1)\)-dimensional ito equation
- Component-trace identities for Hamiltonian structures
- The trace identity, a powerful tool for constructing the Hamiltonian structure of integrable systems
- Nonlinear resonant scattering and plasma instability: an integrable model
- Integration of the nonlinear Schrodinger equation with a source
- Completion of the Ablowitz-Kaup-Newell-Segur integrable coupling
- Constructing variable coefficient nonlinear integrable coupling super AKNS hierarchy and its self‐consistent sources
- Dynamics of nonautonomous discrete rogue wave solutions for an Ablowitz-Musslimani equation with PT-symmetric potential
- A new loop algebra and a corresponding integrable hierarchy, as well as its integrable coupling
- Lax pair, binary Darboux transformations and dark-soliton interaction of a fifth-order defocusing nonlinear Schrödinger equation for the attosecond pulses in the optical fiber communication
- On the modified discrete KP equation with self-consistent sources
- Coupling integrable couplings and bi-Hamiltonian structure associated with the Boiti–Pempinelli–Tu hierarchy
- A Block Matrix Loop Algebra and Bi-Integrable Couplings of the Dirac Equations
- A discrete variational identity on semi-direct sums of Lie algebras
- Integrable couplings of soliton equations by perturbations. I: A general theory and application to the KdV hierarchy
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