Darboux transformation and multi-soliton solutions of the discrete sine-Gordon equation
Copyright policy )Darboux transformation and multi-soliton solutions of the discrete sine-Gordon equation
AbstractWe study the discrete Darboux transformation and construct multi-soliton solutions in terms of the ratio of determinants for the integrable discrete sine-Gordon equation. We also calculate explicit expressions of single-, double-, triple-, and quadruple-soliton solutions as well as single- and double-breather solutions of the discrete sine-Gordon equation. The dynamical features of discrete kinks and breathers are also illustrated.
- University of the Punjab Pakistan
High Energy Physics - Theory, Nonlinear Sciences - Exactly Solvable and Integrable Systems, High Energy Physics - Theory (hep-th), FOS: Physical sciences, Exactly Solvable and Integrable Systems (nlin.SI)
High Energy Physics - Theory, Nonlinear Sciences - Exactly Solvable and Integrable Systems, High Energy Physics - Theory (hep-th), FOS: Physical sciences, Exactly Solvable and Integrable Systems (nlin.SI)
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).1 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!