Lie symmetry analysis and soliton solutions for complex short pulse equation
Sign Up to like & getrecommendations! Published in 2020 at "Waves in Random and Complex Media"
DOI: 10.1080/17455030.2020.1807074
Abstract: The current study is dedicated for operating the Lie symmetry approach, to complex short pulse equation. The method reduces the complex short pulse equation to a system of ordinary differential equ... read more here.
Keywords: complex short; lie symmetry; short pulse; pulse equation ... See more keywords
The dynamics of the breather, degenerate solutions and dark peakon solutions for the focusing and defocusing complex short pulse equations
Sign Up to like & getrecommendations! Published in 2025 at "Journal of Physics A: Mathematical and Theoretical"
DOI: 10.1088/1751-8121/adc774
Abstract: This paper proposes a uniform N-fold Darboux transformation (DT) for both the focusing and defocusing complex short pulse equations, which is expressed in determinant and compact form. Through the application of uniform DT, we systematically… read more here.
Keywords: soliton; degenerate solutions; short pulse; defocusing complex ... See more keywords
Reply to "Comment on 'Defocusing complex short-pulse equation and its multi-dark-soliton solution' ".
Sign Up to like & getrecommendations! Published in 2017 at "Physical Review E"
DOI: 10.1103/physreve.96.026202
Abstract: Our paper [Phys. Rev. E 93, 052227 (2016)PREHBM2470-004510.1103/PhysRevE.93.052227], proposing an integrable model for the propagation of ultrashort pulses, has recently received a Comment by Youssoufa et al. [Phys. Rev. E 96, 026201 (2017)10.1103/PhysRevE.96.026201] about a possible… read more here.
Keywords: short pulse; complex short; comment defocusing; defocusing complex ... See more keywords