INTERACTION OF A SOLITARY WAVE WITH AN EXTERNAL FORCE IN THE EXTENDED KORTEWEG–DE VRIES EQUATION

DOI10.1142/S0218127402005947zbMath1042.35066MaRDI QIDQ4736302

No author found.

Publication date: 9 August 2004

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

zbMATH Keywords

Korteweg-de VriesSolitary wave

Mathematics Subject Classification ID

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 (6)

Penalised logistic regression and dynamic prediction for discrete-time recurrent event data ⋮ Polynomial spline estimation for generalized varying coefficient partially linear models with a diverging number of components ⋮ Soliton interactions with an external forcing: the modified Korteweg-de Vries framework ⋮ Multi-soliton solutions of the forced variable-coefficient extended Korteweg-de Vries equation arisen in fluid dynamics of internal solitary waves ⋮ Soliton interaction with external forcing within the Korteweg–de Vries equation ⋮ Steady transcritical flow over an obstacle: Parametric map of solutions of the forced extended Korteweg–de Vries equation

Cites Work

• The nonlinear dynamics of rogue waves and holes in deep-water gravity wave trains
• Hysteresis phenomena in the interaction of a damped solitary wave with an external force
• Interaction of a solitary wave with an external force
• Nonlinear-dispersive mechanism of the freak wave formation in shallow water
• Solitary wave transformation in a medium with sign-variable quadratic nonlinearity and cubic nonlinearity
• Structural transformation of eigenvalues for a perturbed algebraic soliton potential.
• The extended Korteweg-de Vries equation and the resonant flow of a fluid over topography
• Transcritical flow of a stratified fluid: The forced extended Korteweg–de Vries model
• Slowly Varying Solitary Wave Solutions of the Perturbed Korteweg‐de Vries Equation Revisited
• Internal capillary-gravity waves of a two-layer fluid with free surface over an obstruction—Forced extended KdV equation
• Interaction of a Solitary Wave with an External Force Moving with Variable Speed

This page was built for publication: INTERACTION OF A SOLITARY WAVE WITH AN EXTERNAL FORCE IN THE EXTENDED KORTEWEG–DE VRIES EQUATION