Journal ArticleDOI
Intricate dynamics of rogue waves governed by the Sasa–Satsuma equation
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TLDR
In this article, the second-order rogue wave solutions of the Sasa-Satsuma evolution equation were presented in explicit form for three free parameter values of the family of rogue wave solution.About:
This article is published in Physica D: Nonlinear Phenomena.The article was published on 2020-01-15. It has received 26 citations till now. The article focuses on the topics: Nonlinear Schrödinger equation & Rogue wave.read more
Citations
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Bright and dark optical solitons of the (2+1)-dimensional perturbed nonlinear Schrödinger equation in nonlinear optical fibers
TL;DR: In this article , an extended (2+1)-dimensional perturbed nonlinear Schrödinger equation (P-NLS) with Kerr law nonlinearity in a nano optical fiber is studied.
Journal ArticleDOI
Waves that Appear From Nowhere: Complex Rogue Wave Structures and Their Elementary Particles
TL;DR: The Peregrine solution of the NLSE has wide range of applications in physics with spatial scales that vary from microns to kilometres and can be applied to water waves, optics, plasma and Bose-Einstein condensate as mentioned in this paper.
Journal ArticleDOI
Higher-order Sasa–Satsuma equation: Bright and dark optical solitons
Abdul-Majid Wazwaz,M.S. Mehanna +1 more
TL;DR: In this paper, a generalized nonlinear (3+1)-dimensional Sasa-Satsuma equation is presented, influenced by nonlinearity and spatial dissipations effects in all spatial directions.
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Dynamics of Higher-order Bright and Dark Rogue Waves in a New (2+1)-Dimensional Integrable Boussinesq Model
TL;DR: In this paper, the authors deal with the dynamics of higher-order rogue waves in a new integrable (2+1)-dimensional Boussinesq equation governing the evolution of high and steep gravity water waves.
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Riemann–Hilbert approach and N-soliton solutions for a new two-component Sasa–Satsuma equation
TL;DR: In this paper, a two-component Sasa-Satsuma equation associated with a $$4\times 4$$ Lax matrix spectral problem is proposed by resorting to the zero-curvature equation Riemann-Hilbert problems.
References
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Journal Article
Exact Theory of Two-dimensional Self-focusing and One-dimensional Self-modulation of Waves in Nonlinear Media
Journal ArticleDOI
Optical rogue waves
TL;DR: This work reports the observation of rogue waves in an optical system, based on a microstructured optical fibre, near the threshold of soliton-fission supercontinuum generation—a noise-sensitive nonlinear process in which extremely broadband radiation is generated from a narrowband input.
Journal ArticleDOI
Water waves, nonlinear Schrödinger equations and their solutions
TL;DR: In this article, a number of ases in which these equations reduce to a one dimensional nonlinear Schrodinger (NLS) equation are enumerated, and several analytical solutions of NLS equations are presented, with discussion of their implications for describing the propagation of water waves.
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The Peregrine soliton in nonlinear fibre optics
Bertrand Kibler,Julien Fatome,Christophe Finot,Guy Millot,Frédéric Dias,Frédéric Dias,Goëry Genty,Nail Akhmediev,John M. Dudley +8 more
TL;DR: The Peregrine soliton was observed experimentally for the first time by using femtosecond pulses in an optical fiber as mentioned in this paper, which gave some insight into freak waves that can appear out of nowhere before simply disappearing.
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Waves that appear from nowhere and disappear without a trace
TL;DR: In this article, a hierarchy of rational solutions of the nonlinear Schrodinger equation (NLSE) with increasing order and with progressively increasing amplitude is presented. And the authors apply the WANDT title to two objects: rogue waves in the ocean and rational solution of the NLSE.
Related Papers (5)
Waves that appear from nowhere and disappear without a trace
Optical rogue waves in the generalized inhomogeneous higher-order nonlinear Schrodinger equation with modulating coefficients
Zhenya Yan,Chao-Qing Dai +1 more