TY  - JOUR
A1  - Rosenau, Philip
A1  - Pikovskij, Arkadij
T1  - Waves in strongly nonlinear Gardner-like equations on a lattice
JF  - Nonlinearity / the Institute of Physics and the London Mathematical Society
N2  - 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.
KW  - nonlinear lattice
KW  - solitary wave
KW  - Gardner equation
KW  - compacton
Y1  - 2021
U6  - https://doi.org/10.1088/1361-6544/ac0f51
SN  - 0951-7715
SN  - 1361-6544
VL  - 34
IS  - 8
SP  - 5872
EP  - 5896
PB  - IOP Publ. Ltd.
CY  - Bristol
ER  -