Generalized intermediate long-wave hierarchy in zero-curvature representation with noncommutative spectral parameter
From MaRDI portal
Publication:4030981
DOI10.1063/1.529876zbMath0761.35094OpenAlexW1980299736MaRDI QIDQ4030981
No author found.
Publication date: 1 April 1993
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.529876
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) Riemann-Hilbert problems in context of PDEs (35Q15)
Related Items
Generalized ILW hierarchy: solutions and limit to extended lattice GD hierarchy ⋮ A spectral transform for the intermediate nonlinear Schrödinger equation ⋮ On combinatorial expansion of the conformal blocks arising from AGT conjecture ⋮ Integrable structure, W-symmetry and AGT relation ⋮ Lifshitz scaling, microstate counting from number theory and black hole entropy ⋮ On elliptic algebras and large-n supersymmetric gauge theories ⋮ Nonlocal integrable equations from the mKP hierarchy
Cites Work
- Infinite-dimensional algebras, sine brackets, and SU(\(\infty)\)
- Generalized internal long waves equations: Construction, Hamiltonian structure, and conservation laws
- Lie algebras and equations of Korteweg-de Vries type
- Nonlocal integrable partners to generalized MKdV and two-dimensional Toda lattice equation in the formalism of a dressing method with quantized spectral parameter
- Algebraic Solitary Waves in Stratified Fluids
- Nonlinear evolution equations associated with a Riemann–Hilbert scattering problem
- On a Bäcklund transformation and scattering problem for the modified intermediate long wave equation
- Direct and inverse scattering problems of the nonlinear intermediate long wave equation
- Lagrange multiplier formalism for a spin-3/2 field
- Multi-soliton solutions in a finite depth fluid
- The Inverse Scattering Transform for the Benjamin‐Ono Equation—A Pivot to Multidimensional Problems
- Internal waves of permanent form in fluids of great depth