Abstract
In this study we investigate the existence of soliton solutions for partial differential equations with polynomial nonlinearities. We obtain a classification of high-order integrable systems with two-soliton solution, using the τ-function method. Hierarchies of these equations are represented.
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More From: Chaos, Solitons and Fractals: the interdisciplinary journal of Nonlinear Science, and Nonequilibrium and Complex Phenomena
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