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Asymptotic solitons of the Johnson equation

Igor Anders·Anne Boutet de Monvel
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Abstract

We prove the existence of non-decaying real solutions of the Johnson equation, vanishing as $x\to+\infty$. We obtain asymptotic formulas as $t\to\infty$ for the solutions in the form of an infinite series of asymptotic solitons with curved lines of constant phase and varying amplitude and width.

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Igor Anders, Anne Boutet de Monvel. 2000-07-01. Asymptotic solitons of the Johnson equation. https://doi.org/10.2991/jnmp.2000.7.3.4

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