A new spectral problem and the related integrable nonlinear evolution equations
From MaRDI portal
Publication:1680021
DOI10.1016/j.aml.2017.08.010zbMath1379.35281OpenAlexW2747127259MaRDI QIDQ1680021
Publication date: 22 November 2017
Published in: Applied Mathematics Letters (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.aml.2017.08.010
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) Spectral theory and eigenvalue problems for partial differential equations (35P99)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Negative order MKdV hierarchy and a new integrable Neumann-like system
- Integration of nonlinear equations of mathematical physics by the method of inverse scattering. II
- An alternative approach to solve the mixed AKNS equations
- Integral-Type Darboux Transformations for the mKdV Hierarchy with Self-Consistent Sources
- Miura and generalized Bäcklund transformation for KdV hierarchy
- The Painlevé property for partial differential equations
- Nonlinear differential–difference equations and Fourier analysis
- An exact solution for a derivative nonlinear Schrödinger equation
- New Finite-Dimensional Completely Integrable Systems Associated with the Sine-Gordon Equation
- An integrable shallow water equation with peaked solitons
- Soliton solutions and quasiperiodic solutions of modified Korteweg–de Vries type equations
- Integrals of nonlinear equations of evolution and solitary waves
- Tata lectures on theta. II: Jacobian theta functions and differential equations. With the collaboration of C. Musili, M. Nori, E. Previato, M. Stillman, and H. Umemura
- Liouville correspondence between the modified KdV hierarchy and its dual integrable hierarchy
This page was built for publication: A new spectral problem and the related integrable nonlinear evolution equations