Pulsating multiplet solutions of quintic wave equations

DOI10.1016/S0167-2789(98)00146-8zbMath0938.35168OpenAlexW2029175741MaRDI QIDQ1808302

Philip S. Rosenau, James M. Hyman

Publication date: 6 December 1999

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0167-2789(98)00146-8

zbMATH Keywords

collision dynamicsdecomposition into singletsevolution of multipletsquintic Korteweg-de Vries equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40)

Related Items

On quintic equations with a linear window ⋮ Removing trailing tails and delays induced by artificial dissipation in Padé numerical schemes for stable compacton collisions ⋮ Compactons in a class of nonlinearly quintic equations ⋮ Compactons ⋮ Compact and noncompact dispersive patterns ⋮ Exact solutions and conservation laws for coupled generalized Korteweg-de Vries and quintic regularized long wave equations ⋮ Nonlinear waves and solitons in physical systems ⋮ Shock waves and compactons for fifth-order non-linear dispersion equations

Cites Work

• Existence of perturbed solitary wave solutions to a model equation for water waves
• Solitary waves with damped oscillatory tails: An analysis of the fifth- order Korteweg-de Vries equation
• Numerical computations of a nearly singular nonlinear equation: Weakly nonlocal bound states of solitons for the fifth-order Korteweg-de Vries equation
• Stationary solitary waves of the fifth order KdV-type equations
• Stationary solitons of the fifth order KdV-type. Equations and their stabilization.
• Existence and Nonexistence of Solitary Wave Solutions to Higher-Order Model Evolution Equations
• On the formation of bound states by interacting nonlocal solitary waves
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