On existence of kink and antikink wave solutions of singularly perturbed Gardner equation
Sign Up to like & getrecommendations! Published in 2020 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.6204
Abstract: In this paper, we study the existence of kink and antikink wave solutions of singularly perturbed Gardner equation from the geometric perspective. We obtain the sufficient conditions to guarantee the existence of kink and antikink… read more here.
Keywords: solutions singularly; wave solutions; antikink wave; existence kink ... See more keywords
Resonance structures in kink-antikink collisions in a deformed sine-Gordon model
Sign Up to like & getrecommendations! Published in 2021 at "Journal of High Energy Physics"
DOI: 10.1007/jhep09(2021)145
Abstract: Abstract We study kink-antikink collisions in a model which interpolates smoothly between the completely integrable sine-Gordon theory, the ϕ4 model, and a ϕ6-like model with three degenerate vacua. We find a rich variety of behaviours,… read more here.
Keywords: antikink collisions; sine gordon; model; resonance ... See more keywords
Kink-antikink asymmetry and impurity interactions in topological mechanical chains.
Sign Up to like & getrecommendations! Published in 2017 at "Physical Review E"
DOI: 10.1103/physreve.95.022202
Abstract: We study the dynamical response of a diatomic periodic chain of rotors coupled by springs, whose unit cell breaks spatial inversion symmetry. In the continuum description, we derive a nonlinear field theory which admits topological… read more here.
Keywords: antikink asymmetry; asymmetry impurity; interactions topological; kink antikink ... See more keywords
Kink–antikink scattering-induced breathing bound states and oscillons in a parametrized ϕ4 model
Sign Up to like & getrecommendations! Published in 2020 at "Modern Physics Letters A"
DOI: 10.1142/s0217732321500152
Abstract: Recent studies have emphasized the important role that a shape deformability of scalar-field models pertaining to the same class with the standard [Formula: see text] field, can play in controlling the production of a specific… read more here.
Keywords: parametrized model; bound states; field; breathing bound ... See more keywords