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Media type:
E-Article
Title:
Waves in strongly nonlinear Gardner-like equations on a lattice
Contributor:
Rosenau, Philip;
Pikovsky, Arkady
Published:
IOP Publishing, 2021
Published in:
Nonlinearity, 34 (2021) 8, Seite 5872-5896
Language:
Not determined
DOI:
10.1088/1361-6544/ac0f51
ISSN:
0951-7715;
1361-6544
Origination:
Footnote:
Description:
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.