ADJOINT SYMMETRY CONSTRAINTS AND INTEGRABLE COUPLING SYSTEM OF MULTICOMPONENT KN EQUATIONS
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Publication:2797234
DOI10.1142/S0217979211100837zbMath1333.35257OpenAlexW2061081402MaRDI QIDQ2797234
Publication date: 5 April 2016
Published in: International Journal of Modern Physics B (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0217979211100837
NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Variational methods for higher-order elliptic equations (35J35) Soliton solutions (35C08)
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New soliton hierarchies associated with the real Lie algebra so(4,R) ⋮ New integrable \(\mathrm{sl}(2,\mathbb{R})\)-generalization of the classical Wadati-Konno-Ichikawa hierarchy
Cites Work
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- Binary nonlinearization of AKNS spectral problem under higher-order symmetry constraints.
- Adjoint symmetry constraints of multicomponent AKNS equations.
- Binary symmetry constraints of N-wave interaction equations in 1+1 and 2+1 dimensions
- The trace identity, a powerful tool for constructing the Hamiltonian structure of integrable systems
- An exact solution for a derivative nonlinear Schrödinger equation
- New Finite-Dimensional Integrable Systems by Symmetry Constraint of the KdV Equations
- Separation of variables for soliton equations via their binary constrained flows
- From the special 2 + 1 Toda lattice to the Kadomtsev-Petviashvili equation
- Adjoint Symmetry Constraints Leading to Binary Nonlinearization
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