Existence of single-peak solitary waves and double-peaks solitary wave of Gardner equation with Kuramoto-Sivashinsky perturbation
DOI10.1007/s12346-023-00811-1zbMath1519.34042OpenAlexW4379137349MaRDI QIDQ6155161
Publication date: 9 June 2023
Published in: Qualitative Theory of Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s12346-023-00811-1
Melnikov functiongeometric singular perturbation theorydouble-peaks solitary waveGardner equation with Kuramoto-Sivashinsky perturbationsingle-peak solitary waves
Invariant manifolds for ordinary differential equations (34C45) Singular perturbations for ordinary differential equations (34E15) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Traveling wave solutions (35C07)
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Cites Work
- Existence of solitary waves and periodic waves for a perturbed generalized BBM equation
- Semiclassical solitons in strongly correlated systems of ultracold bosonic atoms in optical lattices
- The bifurcations of solitary and kink waves described by the Gardner equation
- New solutions of the Gardner equation: analytical and numerical analysis of its dynamical understanding
- Geometric singular perturbation theory for ordinary differential equations
- Travelling wave solutions to a perturbed Korteweg-de Vries equation
- Nonlinear stability of Gardner breathers
- Nonlocal symmetries and explicit solutions for the Gardner equation
- New kinds of solutions to Gardner equation
- Small permanent charge effects on individual fluxes via Poisson-Nernst-Planck models with multiple cations
- The solitary wave solutions of the nonlinear perturbed shallow water wave model
- Existence of periodic waves for a perturbed quintic BBM equation
- Dynamics of classical Poisson-Nernst-Planck systems with multiple cations and boundary layers
- Global existence and uniqueness of a periodic wave solution of the generalized Burgers-Fisher equation
- Coexistence of the solitary and periodic waves in convecting shallow water fluid
- New solitons and kink solutions for the Gardner equation
- Persistence of solitary wave solutions of singularly perturbed Gardner equation
- Korteweg-de Vries Equation and Generalizations. I. A Remarkable Explicit Nonlinear Transformation
- Korteweg-de Vries Equation and Generalizations. II. Existence of Conservation Laws and Constants of Motion
- A New Type of Solitary Wave Solution of the mKdV Equation Under Singular Perturbations
- Effects on I–V relations from small permanent charge and channel geometry via classical Poisson–Nernst–Planck equations with multiple cations
- EXISTENCE OF SOLITARY WAVES AND PERIODIC WAVES TO A PERTURBED GENERALIZED KDV EQUATION
- Exponential B-spline collocation solutions to the Gardner equation
- On existence of kink and antikink wave solutions of singularly perturbed Gardner equation
- Generation of solitons and breathers in the extended Korteweg–de Vries equation with positive cubic nonlinearity
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