Three kinds of nonisospectral integrable model of Wadati-Konno-Ichikawa soliton hierarchies

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Soliton equations (35Q51) Applications of Lie algebras and superalgebras to integrable systems (17B80) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures (37K30)

Uses Software

Maple

Cites Work

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A few continuous and discrete dynamical systems
Solitons, periodic waves, breathers and integrability for a nonisospectral and variable-coefficient fifth-order Korteweg-de Vries equation in fluids
New integrable \(\mathrm{sl}(2,\mathbb{R})\)-generalization of the classical Wadati-Konno-Ichikawa hierarchy
A few expanding Lie algebras of the Lie algebra \(A_1\) and applications
Integrable couplings of Botie-Pempinelli-Tu (BPT) hierarchy
A generalized Wadati-Konno-Ichikawa hierarchy and new finite-dimensional integrable systems
Generalized integrable hierarchies of AKNS type, super Dirac type and super NLS-mKdV type
Moment modification, multipeakons, and nonisospectral generalizations
A generalization of the Wadati-Konno-Ichikawa soliton hierarchy and its Liouville integrability
A unified expressing model of the AKNS hierarchy and the KN hierarchy, as well as its integrable coupling system
Algebraic structure of the operator related to stationary systems
A novel non-isospectral hierarchy and soliton wave dynamics for a parity-time-symmetric nonlocal vector nonlinear Gross-Pitaevskii equations
A method for generating isospectral and nonisospectral hierarchies of equations as well as symmetries
A simple method for generating integrable hierarchies with multi-potential functions
A generalized nonisospectral Camassa-Holm equation and its multipeakon solutions
New Integrable Nonlinear Evolution Equations
The trace identity, a powerful tool for constructing the Hamiltonian structure of integrable systems
An approach for constructing nonisospectral hierarchies of evolution equations
An exact solution for a derivative nonlinear Schrödinger equation
Induced Lie Algebras of a Six-Dimensional Matrix Lie Algebra
A powerful approach to generate new integrable systems
Three kinds of coupling integrable couplings of the Korteweg–de Vries hierarchy of evolution equations
Discussion on integrable properties for higher-dimensional variable-coefficient nonlinear partial differential equations

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