Asymptotic \(\Sigma\)-solutions of a singularly perturbed Benjamin-Bona-Mahony equation with variable coefficients
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Publication:2274513
DOI10.1007/s11253-018-1500-5zbMath1428.35465OpenAlexW2894833252MaRDI QIDQ2274513
Yu. I. Samoylenko, Valeriy H. Samoylenko
Publication date: 20 September 2019
Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11253-018-1500-5
Asymptotic behavior of solutions to PDEs (35B40) KdV equations (Korteweg-de Vries equations) (35Q53) Singular perturbations in context of PDEs (35B25)
Related Items
Asymptotic soliton-like solutions to the singularly perturbed Benjamin-Bona-Mahony equation with variable coefficients, Asymptotic soliton-like solutions to the Benjamin-Bona-Mahony equation with variable coefficients and a strong singularity
Cites Work
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- Numerical study of the regularized long-wave equation. I: Numerical methods
- Numerical study of the regularized long-wave equation. II: Interaction of solitary waves
- Traveling wave solutions of the Benjamin-Bona-Mahony water wave equations
- Asymptotic \(m\)-phase soliton-type solutions of a singularly perturbed Korteweg-de Vries equation with variable coefficients
- Existence of a solution to the inhomogeneous equation with the one-dimensional Schrödinger operator in the space of quickly decreasing functions
- Asymptotic multiphase {\(\Sigma\)}-solutions to the singularly perturbed Korteweg-de Vries equation with variable coefficients
- A Higher-Order Water-Wave Equation and the Method for Solving It
- The Modified Korteweg-de Vries Equation
- Interaction of "Solitons" in a Collisionless Plasma and the Recurrence of Initial States
- The small dispersion limit of the korteweg-de vries equation. ii
- The small dispersion limit of the Korteweg-de Vries equation. III
- The small dispersion limit of the Korteweg-de Vries equation. I
- Solitary-wave interaction
- Multiphase averaging and the inverse spectral solution of the Korteweg—de Vries equation
- An evaluation of a model equation for water waves
- An exact solution for a derivative nonlinear Schrödinger equation
- Method for Solving the Korteweg-deVries Equation
- Asymptotic soliton-like solutions to the singularly perturbed Benjamin-Bona-Mahony equation with variable coefficients
- Application of a Nonlinear WKB Method to the Korteweg–DeVries Equation
- Asymptotic solutions of the Cauchy problem for the singularly perturbed Korteweg-de Vries equation with variable coefficients
- Model equations for long waves in nonlinear dispersive systems
