Asymptotic solitons of the Johnson equation

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.

Cited by in corpus (1)

• On the integrability of a generalized variable-coefficient Kadomtsev-Petviashvili equation