Characters of explicit solutions for a semidiscrete integrable coupled equation

DOI10.1155/2021/9964540zbMath1481.39018OpenAlexW4200157856MaRDI QIDQ2064741

Xiangwen Qu, Qianqian Yang, Qiu-Lan Zhao

Publication date: 6 January 2022

Published in: Advances in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2021/9964540

zbMATH Keywords

Darboux transformation methoddiscrete zero-curvature equationsemidiscrete integrable coupled system

Mathematics Subject Classification ID

Lattice dynamics; integrable lattice equations (37K60) Integrable difference and lattice equations; integrability tests (39A36)

Cites Work

• The \(\left(\frac{G^\prime}{G}\right)\)-expansion method for the nonlinear lattice equations
• Integrable theory of the perturbation equations.
• A hierarchy of nonlinear differential-difference equations and a new Bargmann type integrable system
• Semi-direct sums of Lie algebras and continuous integrable couplings
• Enlarging spectral problems to construct integrable couplings of soliton equations
• Symmetry group methods for fundamental solutions
• N-bright-bright and N-dark-dark solitons of the coupled generalized nonlinear Schrödinger equations
• Multi-component semi-discrete coupled dispersionless integrable system, its Lax pair and Darboux transformation
• A new lattice hierarchy: Hamiltonian structures, symplectic map and \(N\)-fold Darboux transformation
• Algebro-geometric solutions of the coupled modified Korteweg-de Vries hierarchy
• The Lie Algebra Structure of Degenerate Hamiltonian and Bi-Hamiltonian Systems
• Darboux Transformations and New Explicit Solutions for a Blaszak—Marciniak Three-Field Lattice Equation
• On a new Darboux transformation for the construction of exact solutions of the Schrodinger equation
• The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems
• A new hierarchy of integrable differential-difference equations and Darboux transformation
• A new loop algebra and a corresponding integrable hierarchy, as well as its integrable coupling
• Integrable nonlinear differential-difference hierarchy and Darboux transformation
• Explicit solution and Darboux transformation for a new discrete integrable soliton hierarchy with 4×4 Lax pairs
• Integrable couplings of soliton equations by perturbations. I: A general theory and application to the KdV hierarchy

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