Multisoliton solutions via a separation of variables

2021/05/18 by B. P. Ryssev, Ryssev, B. P.
Physics and Astronomy · #35Q51 #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #Mathematical Physics (math-ph) #Nonlinear Waves and Solitons

paper · pdf · doi:10.48550/arxiv.2105.08226

openalex publication_date 2021/05/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

It is shown that multisoliton solutions of several well known nonlinear PDEs(x, t) can be obtained by certain separation of variables: each n-soliton arises from a mutual solution of a nonlinear ODE(x), common for all NPDEs considered, and linear PDE(x, t) with the linear operator from the NPDE in question.

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