Abstract
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.
Original language | English |
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Pages (from-to) | 5872-5896 |
Number of pages | 25 |
Journal | Nonlinearity |
Volume | 34 |
Issue number | 8 |
DOIs | |
State | Published - Aug 2021 |
Keywords
- Compacton
- Gardner equation
- Nonlinear lattice
- Solitary wave