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- Title
Loop dynamics of a fully discrete short pulse equation.
- Authors
Sarfraz, H.; Saleem, U.; Hanif, Y.
- Abstract
In this paper, a fully discrete short pulse (SP) equation is presented as an integrability condition of a linear system of difference equations (also known as discrete Lax pair). Additionally, two semi-discrete versions of the SP equation have also been obtained from fully discrete SP equation under continuum limits. Darboux transformation is employed to compute multi-soliton solutions of fully discrete and semi-discrete SP equations. Explicit expressions of first and second nontrivial soliton solutions are computed. We also derived explicit expression of breather solution for fully discrete SP equation. The dynamics of single loop soliton and interaction mechanism of loop–loop and loop–antiloop solutions have been explored and illustrated.
- Subjects
DARBOUX transformations; LAX pair; DIFFERENCE equations; EQUATIONS; ELECTROMAGNETIC pulses; LINEAR systems
- Publication
Modern Physics Letters A, 2023, Vol 38, Issue 16/17, p1
- ISSN
0217-7323
- Publication type
Article
- DOI
10.1142/S0217732323500864