\(M\)-truncated optical soliton and their characteristics to a nonlinear equation governing the certain instabilities of modulated wave trains
DOI10.3934/MATH.2021535OpenAlexW3176898851MaRDI QIDQ2670997
S. Abdel-Khalek, Mustafa Inc, Abdullahi Yusuf, Tukur Abdulkadir Sulaiman, K. H. Mahmoud
Publication date: 3 June 2022
Published in: AIMS Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/math.2021535
optical solitonsHamiltonian amplitude equationM-truncated derivativeextended rational sine-cosine/sinh-coshextended sinh-Gordon method
Classical solutions to PDEs (35A09) Fundamental solutions to PDEs and systems of PDEs with constant coefficients (35E05)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Darboux transformation and explicit solutions to the generalized TD equation
- Generalizing the variational iteration method for BVPs: proper setting of the correction functional
- A sub-ODE method for generalized Gardner and BBM equation with nonlinear terms of any order
- New exact solutions for the \((2 + 1)\)-dimensional generalized Broer-Kaup system
- Amplification, reshaping, fission and annihilation of optical solitons in dispersion-decreasing fiber
- Solitary and Jacobi elliptic wave solutions of the generalized Benjamin-Bona-Mahony equation
- \((N+1)\)-dimensional fractional reduced differential transform method for fractional order partial differential equations
- New solitary wave solutions for the conformable Klein-Gordon equation with quantic nonlinearity
- A generalized \(F\)-expansion method with symbolic computation exactly solving Broer-Kaup equations
- On the phase-dependent manifestation of optical rogue waves
- The Darboux transformation of the derivative nonlinear Schrödinger equation
- Solitary wave solutions of nonlinear wave equations
- Exact Solution of the Korteweg—de Vries Equation for Multiple Collisions of Solitons
- A survey of the origins and physical importance of soliton equations
- An exact solution for a derivative nonlinear Schrödinger equation
- Travelling Wave Solutions for Konopelchenko–Dubrovsky Equation Using an Extended sinh-Gordon Equation Expansion Method
- Comment on Revision of Kaup–Newell's Works on IST for DNLS Equation
- Dynamics of solitons to the coupled sine-Gordon equation in nonlinear optics
- Construction of rogue waves and conservation laws of the complex coupled Kadomtsev–Petviashvili equation
- A New Hamiltonian Amplitude Equation Governing Modulated Wave Instabilities
This page was built for publication: \(M\)-truncated optical soliton and their characteristics to a nonlinear equation governing the certain instabilities of modulated wave trains
