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- Title
Dynamics of loop soliton solutions of PT-symmetric nonlocal short pulse equation.
- Authors
Hanif, Y.; Sarfraz, H.; Saleem, U.
- Abstract
In this article, we present a system of coupled short pulse equations as integrability condition of associated generalized linear eigenvalue problem. We obtain system of PT -symmetric short pulse equation (SPE) by using suitable reduction condition. In order to investigate the dynamics of loop solitons for nonlocal SPE, we use hodograph transformation to transform standard SPE into an equivalent equation of motion and associated linear system. We construct multiple-soliton solutions for PT -symmetric nonlocal SPE by employing Darboux transformation on the matrix-valued solution to the transformed linear system. We obtain a generalized formula for multiple solutions in terms of ratio of determinants. Families of exact loop and breather soliton solutions are computed by using the generalized formula. We analyze the impact of nonlocality on loops, breathers and interacting solitons for incoherent spectral parameters. We also characterize the conduct of the loop soliton interactions. Nonlocality-induced instabilities for loop and breather solutions are also illustrated. We also recover multiple loop soliton solutions of the classical SPE under local symmetry reduction.
- Subjects
EQUATIONS of motion; DARBOUX transformations; EQUATIONS; LINEAR systems; SOLITONS; DISEASE complications
- Publication
Nonlinear Dynamics, 2020, Vol 100, Issue 2, p1559
- ISSN
0924-090X
- Publication type
Article
- DOI
10.1007/s11071-020-05548-z