January 1, 1973

A Soliton and Two Solitons in an Exponential Lattice and Related Equations

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Resumen

Relations between a nonlinear (exponential) lattice, the Boussinesq equation and the Korteweg-de Vries equation are clarified and therefrom the exact solutions for the two-soliton state are given in each case for both the head-on and the overtaking collisions.

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Toda et al. (Mon,) studied this question.

synapsesocial.com/papers/69dda4ac30fba8aacf40c7b5 https://doi.org/https://doi.org/10.1143/jpsj.34.18

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4The Exact Solution of the Modified Korteweg-de Vries Equation1972 · 437 citations
5The Exact <i>N</i>-Soliton Solution of the Korteweg-de Vries Equation1972 · 198 citations

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