Time-dependent defects in integrable soliton equations
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Publication:5160863
DOI10.1098/rspa.2019.0652zbMath1472.35341arXiv1908.05578OpenAlexW3003073537WikidataQ89819595 ScholiaQ89819595MaRDI QIDQ5160863
Publication date: 29 October 2021
Published in: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1908.05578
KdV equations (Korteweg-de Vries equations) (35Q53) NLS equations (nonlinear Schrödinger equations) (35Q55) Groups and algebras in quantum theory and relations with integrable systems (81R12) Geometric theory, characteristics, transformations in context of PDEs (35A30)
Cites Work
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- Classical integrable defects as quasi Bäcklund transformations
- Affine Toda field theories with defects
- Hamiltonian methods in the theory of solitons. Transl. from the Russian by A. G. Reyman
- Boundary-value problem for nonlinear Schrödinger equation
- Quantum and classical integrable sine-Gordon model with defect
- Symplectic structures, their Bäcklund transformations and hereditary symmetries
- A multisymplectic approach to defects in integrable classical field theory
- The sine-Gordon model with integrable defects revisited
- Soliton-defect collisions in the nonlinear Schrödinger equation
- Liouville integrable defects: the non-linear Schrödinger paradigm
- Fast soliton scattering by delta impurities
- Theory of Canonical Transformations for Nonlinear Evolution Equations. II
- Theory of Canonical Transformations for Nonlinear Evolution Equations. I
- CLASSICALLY INTEGRABLE FIELD THEORIES WITH DEFECTS
- A new class of integrable defects
- The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems
- An integrable shallow water equation with peaked solitons
- Boundary conditions for integrable quantum systems
- Aspects of sine-Gordon solitons, defects and gates
- Type I integrable defects and finite-gap solutions for KdV and sine-Gordon models
- Jump-defects in the nonlinear Schrödinger model and other non-relativistic field theories
- ON A SYSTEMATIC APPROACH TO DEFECTS IN CLASSICAL INTEGRABLE FIELD THEORIES
- Interaction of sine-Gordon kinks with defects: Phase space transport in a two-mode model
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