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A hyperasymptotic perturbative method for computing the radiation coefficient for weakly nonlocal solitary waves

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Publication:1902642
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DOI10.1006/jcph.1995.1146zbMath0834.65122OpenAlexW2082514707MaRDI QIDQ1902642

John P. Boyd

Publication date: 31 March 1996

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jcph.1995.1146

zbMATH Keywords

inverse problemasymptotic methodKorteweg-de Vries equationasymptotic seriesradiation coefficienthyperasymptotic approximationsmultiple scales seriesweakly nonlocal solitary wave


Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) KdV equations (Korteweg-de Vries equations) (35Q53) Inverse problems for PDEs (35R30) Applications to the sciences (65Z05)


Related Items

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, Radiative decay of weakly nonlocal solitary waves., First-order general differential equation for multi-level asymptotics at higher levels and recurrence relationship of singulants, Weakly nonlocal envelope solitary waves: Numerical calculations for the Klein-Gordon \((\phi^4)\) equation



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