On the generation of solitons and breathers in the modified Korteweg–de Vries equation
From MaRDI portal
Publication:4515147
DOI10.1063/1.166505zbMath0970.35124OpenAlexW2047417035WikidataQ52015765 ScholiaQ52015765MaRDI QIDQ4515147
No author found.
Publication date: 12 November 2000
Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.166505
KdV equations (Korteweg-de Vries equations) (35Q53) Solitary waves for incompressible inviscid fluids (76B25) Soliton equations (35Q51) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40)
Related Items
KdV breathers on a cnoidal wave background ⋮ Solitary wave solutions for a coupled pair of mKdV equations ⋮ Mixed turbulence of breathers and narrowband irregular waves: mKdV framework ⋮ Nonlinear waves, modulations and rogue waves in the modular Korteweg-de Vries equation ⋮ On mKdV and associated classes of moving boundary problems: reciprocal connections ⋮ Breathers in a three-layer fluid ⋮ Short‐Lived Large‐Amplitude Pulses in the Nonlinear Long‐Wave Model Described by the Modified Korteweg–De Vries Equation ⋮ High-order rogue waves for the Hirota equation ⋮ On the Long-Time Asymptotic Behavior of the Modified Korteweg--de Vries Equation with Step-like Initial Data ⋮ Coupling constant behavior of eigenvalues of Zakharov-Shabat systems ⋮ Interactions of breathers and solitons in the extended Korteweg-de Vries equation ⋮ On hidden solitons in KdV related systems ⋮ Generation of large-amplitude solitons in the extended Korteweg–de Vries equation ⋮ Soliton dynamics in the complex modified KdV equation with a periodic potential ⋮ Propagation of \(sech^2\)-type solitary waves in higher-order KdV-type systems ⋮ Nonlinear wave focusing on water of finite depth ⋮ Wave group dynamics in weakly nonlinear long-wave models ⋮ Nonlinear Wave Equations for Oceanic Internal Solitary Waves ⋮ The essential spectrum of periodically stationary solutions of the complex Ginzburg-Landau equation ⋮ Generation of solitons and breathers in the extended Korteweg–de Vries equation with positive cubic nonlinearity ⋮ Dispersive focusing in fractional Korteweg–de Vries-type equations ⋮ Breather interactions in a three-layer fluid
Cites Work
This page was built for publication: On the generation of solitons and breathers in the modified Korteweg–de Vries equation