Soliton-generating τ-functions revisited
DOI10.1063/1.5046356zbMath1406.35323arXiv1804.00683OpenAlexW3104721089MaRDI QIDQ4644649
Publication date: 8 January 2019
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1804.00683
soliton solutionsKorteweg-deVriesKadomtsev-Petviashvili IIHirota algorithminverse-scattering formalism
KdV equations (Korteweg-de Vries equations) (35Q53) 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) Soliton solutions (35C08)
Cites Work
- Sturm-Liouville operators and applications. Transl. from the Russian by A. Iacob
- Reduction of soliton equations in bilinear form
- An \(N\) soliton resonance solution for the KP equation: interaction with change of form and velocity
- Wave Motion
- A Method for Finding N-Soliton Solutions of the K.d.V. Equation and K.d.V.-Like Equation
- Interaction of "Solitons" in a Collisionless Plasma and the Recurrence of Initial States
- Exact Solution of the Korteweg—de Vries Equation for Multiple Collisions of Solitons
- A New Form of Backlund Transformations and Its Relation to the Inverse Scattering Problem
- Korteweg-de Vries Equation and Generalizations. I. A Remarkable Explicit Nonlinear Transformation
- Exact N-soliton solutions of the wave equation of long waves in shallow-water and in nonlinear lattices
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Soliton-generating τ-functions revisited
