Multi-hump solutions of some singularly-perturbed equations of KdV type
From MaRDI portal
Publication:476610
DOI10.3934/dcds.2014.34.5181zbMath1309.34111OpenAlexW2060080656MaRDI QIDQ476610
Publication date: 2 December 2014
Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/dcds.2014.34.5181
Solitary waves for incompressible inviscid fluids (76B25) Singular perturbations for ordinary differential equations (34E15) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)
Related Items (4)
Existence of kink waves and periodic waves for a perturbed defocusing mKdV equation ⋮ Multi-hump solutions with small oscillations at infinity for stationary Swift–Hohenberg equation ⋮ One- and two-hump solutions of a singularly perturbed cubic nonlinear Schrödinger equation ⋮ Exact two-dimensional multi-hump waves on water of finite depth with small surface tension
Cites Work
- Unnamed Item
- Unnamed Item
- Perturbed homoclinic solutions in reversible 1:1 resonance vector fields
- Existence of perturbed solitary wave solutions to a model equation for water waves
- Structural stability of the Korteweg-de Vries solitons under a singular perturbation
- A theory of solitary water-waves in the presence of surface tension
- Solitary waves with surface tension. I: Trajectories homoclinic to periodic orbits in four dimensions
- A multiplicity result for solitary gravity-capillary waves in deep water via critical-point theory
- Orbits homoclinic to exponentially small periodic orbits for a class of reversible systems. Application to water waves
- Oscillatory integrals and phenomena beyond all algebraic orders with applications to homoclinic orbits in reversible systems
- A plethora of three-dimensional periodic travelling gravity-capillary water waves with multipulse transverse profiles
- Infinitely many large amplitude homoclinic orbits for a class of autonomous Hamiltonian systems
- Bifurcation and coalescence of a plethora of homoclinic orbits for a Hamiltonian system
- Existence of a generalized solitary wave solution for water with positive Bond number less than 1/3
- Exponentially small estimate for the amplitude of capillary ripples of a generalized solitary wave
- Bifurcation of a plethora of multi-modal homoclinic orbits for autonomous Hamiltonian systems
- Solitary Waves in a Two-Layer Fluid with Surface Tension
- Exact solitary water waves with capillary ripples at infinity
- A plethora of solitary gravity-capillary water waves with nearly critical Bond and Froude numbers
- On the Oscillatory Tails with Arbitrary Phase Shift for Solutions of the Perturbed Korteweg--de Vries Equation
- Exponentially small estimate for a generalized solitary wave solution to the perturbed K−dV equation
- A global investigation of solitary-wave solutions to a two-parameter model for water waves
- Camassa–Holm, Korteweg–de Vries and related models for water waves
- Multibump homoclinic solutions to a centre equilibrium in a class of autonomous Hamiltonian systems
This page was built for publication: Multi-hump solutions of some singularly-perturbed equations of KdV type
