Asymptotic Solitons of the Johnson Equation
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We prove the existence of non-decaying real solutions of the Johnson equation, vaishing as x +. We obtain asymptotic formulas as t 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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TY - JOUR AU - Igor Anders AU - Anne Boutet de Monvel PY - 2000 DA - 2000/08/01 TI - Asymptotic Solitons of the Johnson Equation JO - Journal of Nonlinear Mathematical Physics SP - 284 EP - 302 VL - 7 IS - 3 SN - 1776-0852 UR - https://doi.org/10.2991/jnmp.2000.7.3.4 DO - https://doi.org/10.2991/jnmp.2000.7.3.4 ID - Anders2000 ER -