INTERACTION OF A SOLITARY WAVE WITH AN EXTERNAL FORCE IN THE EXTENDED KORTEWEG–DE VRIES EQUATION
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Publication:4736302
DOI10.1142/S0218127402005947zbMath1042.35066MaRDI QIDQ4736302
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Publication date: 9 August 2004
Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)
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
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- 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
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