Existence of generalized solitary wave solutions of the coupled KdV-CKdV system
DOI10.1007/s12346-022-00570-5zbMath1495.34066OpenAlexW4212965358MaRDI QIDQ2114404
Publication date: 15 March 2022
Published in: Qualitative Theory of Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s12346-022-00570-5
reversibilitygeneralized solitary wave solutionscoupled KdV-CKdV systemgeneralized homoclinic solutions
Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Symmetries, invariants of ordinary differential equations (34C14) Applications of operator theory to differential and integral equations (47N20) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Traveling wave solutions (35C07)
Cites Work
- Existence and stability of a two-parameter family of solitary waves for an NLS-KdV system
- Well-posedness and existence of bound states for a coupled Schrödinger-gKdV system
- Global well-posedness and non-linear stability of periodic traveling waves for a Schrödinger-Benjamin-Ono system
- Solitary waves with surface tension. I: Trajectories homoclinic to periodic orbits in four dimensions
- Non-persistence of homoclinic connections for perturbed integrable reversible systems
- Existence theorem for solitary waves on lattices
- On variational formulations for steady water waves
- Orbits homoclinic to exponentially small periodic orbits for a class of reversible systems. Application to water waves
- On the nonintegrability of equations for long- and short-wave interactions
- Generalized homoclinic solutions of a coupled Schrödinger system under a small perturbation
- Some models for the interaction of long and short waves in dispersive media. I: Derivation
- Existence of generalized homoclinic solutions for a modified Swift-Hohenberg equation
- Existence of a generalized solitary wave solution for water with positive Bond number less than 1/3
- Codimension-one persistence beyond all orders of homoclinic orbits to singular saddle centres in reversible systems
- The interaction of long and short waves in dispersive media
- Interaction of "Solitons" in a Collisionless Plasma and the Recurrence of Initial States
- Well-posedness for the Schrödinger-Korteweg-de Vries system
- Dynamics of coupled solitons
- Weakly Nonlocal Solitary Waves in a Singularly Perturbed Korteweg–De Vries Equation
- Camassa–Holm, Korteweg–de Vries and related models for water waves
- Homoclinic orbits to small periodic orbits for a class of reversible systems
- EXISTENCE OF GENERALIZED HOMOCLINIC SOLUTIONS OF A COUPLED KDV-TYPE BOUSSINESQ SYSTEM UNDER A SMALL PERTURBATION
- The initial-boundary value problem for the Schrödinger–Korteweg–de Vries system on the half-line
- Solitary Waves in Cold Collisionless Plasma
- The existence of solitary waves
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
