Inverse scattering transform for integrable nonisospectral hierarchy associate with Camassa-Holm equation
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Publication:6610198
DOI10.1016/j.geomphys.2024.105276MaRDI QIDQ6610198
Publication date: 25 September 2024
Published in: Journal of Geometry and Physics (Search for Journal in Brave)
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Soliton equations (35Q51) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15)
Cites Work
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- Peakons of the Camassa-Holm equation
- Soliton-like solutions for a nonisospectral KdV hierarchy
- Solving the non-isospectral Ablowitz-Ladik hierarchy via the inverse scattering transform and reductions
- Generating nonisospectral integrable hierarchies via a new scheme
- Nonisospectral extension of Schur flow with determinant solution and orthogonal polynomials on the unit circle
- On the long-time asymptotics of the modified Camassa-Holm equation in space-time solitonic regions
- Two nonisospectral integrable hierarchies and its integrable coupling
- The Modified Korteweg-de Vries Equation
- N-Soliton Solutions of Model Equations for Shallow Water Waves
- Exact Solutions of Non-isospectral sine-Gordon Equation with Self-consistent Sources
- Solving Non-Isospectral mKdV Equation and Sine-Gordon Equation Hierarchies with Self-Consistent Sources via Inverse Scattering Transform
- Inverse scattering transform for the Degasperis–Procesi equation
- On the Inverse Scattering Transform for the Kadomtsev-Petviashvili Equation
- A modified KdV equation with self-consistent sources in non-uniform media and soliton dynamics
- Inverse scattering transform for the Camassa–Holm equation
- Nonpropagating solitons of the variable coefficient and nonisospectral Korteweg–de Vries equation
- Solving the hierarchy of the nonisospectral KdV equation with self-consistent sources via the inverse scattering transform
- An approach for constructing nonisospectral hierarchies of evolution equations
- Lax representations and Lax operator algebras of isospectral and nonisospectral hierarchies of evolution equations
- The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems
- Microstructure evolution in an interstitial-free steel during cold rolling at low strain levels
- Method for Solving the Korteweg-deVries Equation
- Lie algebraic structures of (1+1)-dimensional Lax integrable systems
- Spectral analysis and long-time asymptotics of complex mKdV equation
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