Waves in Strongly Nonlinear Gardner-like Equations on a Lattice
| Autor: | Philip Rosenau, Arkady Pikovsky |
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| Rok vydání: | 2020 |
| Předmět: |
Applied Mathematics
General Physics and Astronomy FOS: Physical sciences Statistical and Nonlinear Physics Pattern Formation and Solitons (nlin.PS) Nonlinear Sciences - Pattern Formation and Solitons Lattice (module) Nonlinear system Classical mechanics Chain (algebraic topology) Simple (abstract algebra) Gardner's relation Mathematical Physics Mathematics |
| DOI: | 10.48550/arxiv.2008.11571 |
| Popis: | We introduce and study a family of lattice equations which may be viewed either as a strongly nonlinear discrete extension of the Gardner equation, or a non-convex variant of the Lotka–Volterra chain. Their deceptively simple form supports a very rich family of complex solitary patterns. Some of these patterns are also found in the quasi-continuum rendition, but the more intriguing ones, like interlaced pairs of solitary waves, or waves which may reverse their direction either spontaneously or due a collision, are an intrinsic feature of the discrete realm. |
| Databáze: | OpenAIRE |
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