Weakly nonlocal envelope solitary waves: Numerical calculations for the Klein-Gordon \((\phi^4)\) equation

DOI10.1016/0165-2125(95)00005-4zbMath0968.35518OpenAlexW2002855940MaRDI QIDQ1297123

John P. Boyd

Publication date: 30 August 2001

Published in: Wave Motion (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0165-2125(95)00005-4

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Solitary waves for incompressible inviscid fluids (76B25) Applications to the sciences (65Z05)

Related Items

The collision of two-kinks defects, Pseudospectral/Delves-Freeman computations of the radiation coefficient for weakly nonlocal solitary waves of the third-order nonlinear Schrödinger equation and their relation to hyperasymptotic perturbation theory, Oscillons in the presence of external potential, Radiative decay of weakly nonlocal solitary waves., Creating Kinks from Particles

Cites Work

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• Weakly non-local solitons for capillary-gravity waves: Fifth-degree Korteweg-de Vries equation
• Existence of perturbed solitary wave solutions to a model equation for water waves
• Structural stability of the Korteweg-de Vries solitons under a singular perturbation
• Solitons from sine waves: Analytical and numerical methods for non- integrable solitary and cnoidal waves
• A comparison of numerical and analytical methods for the reduced wave equation with multiple spatial scales
• A hyperasymptotic perturbative method for computing the radiation coefficient for weakly nonlocal solitary waves
• Existence of a generalized solitary wave solution for water with positive Bond number less than 1/3
• Solitary Waves in a Two-Layer Fluid with Surface Tension
• Exact solitary water waves with capillary ripples at infinity
• New Directions in Solitons and Nonlinear Periodic Waves: Polycnoidal Waves, Imbricated Solitons, Weakly Nonlocal Solitary Waves, and Numerical Boundary Value Algorithms
• A numerical calculation of a weakly non-local solitary wave: the ϕ⁴breather
• A note on the interaction between solitary waves in a singularly-perturbed Korteweg-de Vries equation