Impact of fifth order dispersion on soliton solution for higher order NLS equation with variable coefficients [PDF]
Journal of Ocean Engineering and Science, 2020 In this paper, the variable coefficient nonlinear Schrödinger equation with fifth order dispersion in the inhomogeneous optical fiber is investigated to study the impact of fifth order dispersion on attosecond soliton propagation.
Angelin Vithya, M.S. Mani Rajan
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q-Analog of shock soliton solution [PDF]
Journal of Physics A: Mathematical and Theoretical, 2010 By using Jackson's q-exponential function we introduce the generating function, the recursive formulas and the second order q-differential equation for the q-Hermite polynomials. This allows us to solve the q-heat equation in terms of q-Kampe de Feriet polynomials with arbitrary N moving zeroes, and to find operator solution for the Initial Value ...
Nalci, Sengul, Pashaev, Oktay K.
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Bright Soliton Solution of (1+1)-Dimensional Quantum System with Power-Law Dependent Nonlinearity [PDF]
Advances in Mathematical Physics, 2019 We study the nonlinear dynamics of (1+1)-dimensional quantum system in power-law dependent media based on the nonlinear Schrödinger equation (NLSE) incorporating power-law dependent nonlinearity, linear attenuation, self-steepening terms, and third-order
Yukun Zhao +4 more
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Numerical soliton solution of the Kaup-Kupershmidt equation [PDF]
, 2011 Purpose - The purpose of this paper is to obtain soliton solution of the Kaup-Kupershmidt (KK) equation with initial condition. The most important feature of this method is to obtain the solution without direct transformation. Design/methodology/approach
Mohyud-Din, Syed Tauseef +2 more
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Soliton solution and conservation laws of the Zakharov equation in plasmas with power law nonlinearity [PDF]
Nonlinear Analysis, 2013 This paper studies the Zakharov equation with power law nonlinearity. The traveling wave hypothesis is applied to obtain the 1-soliton solution of this equation.
Richard Morris +2 more
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Soliton: A dispersion-less solution with existence and its types
Heliyon, 2022 A solitary wave is the dispersion-less solution of nonlinear evolutionary equations that travels at a constant speed without dissipating its energy. The purpose of this article is to provide insight into the discovery and history of solitons.
G. Arora, Richa Rani, H. Emadifar
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General soliton solution to a nonlocal nonlinear Schrödinger equation with zero and nonzero boundary conditions [PDF]
Nonlinearity, 2017 General soliton solutions to a nonlocal nonlinear Schrödinger (NLS) equation with PT-symmetry for both zero and nonzero boundary conditions are considered via the combination of Hirota’s bilinear method and the Kadomtsev–Petviashvili (KP) hierarchy ...
B. Feng +3 more
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Universe, 2022 This paper retrieves an optical 1–soliton solution to a model that is written as a concatenation of the Lakshmanan–Porsezian–Daniel model and Sasa–Satsuma equation.
Anjan Biswas +7 more
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Soliton molecules and abundant interaction solutions of a general high-order Burgers equation
Results in Physics, 2021 In this work, many kinds of resonant excitations to the N-solitary waves solution are constructed for a (1+1)-dimensional general high-order Burgers (HB) equation.
Gaizhu Qu +4 more
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The existence of discrete solitons for the discrete coupled nonlinear Schrödinger system
Boundary Value Problems, 2023 In this paper, we investigate the nonlinear coupled discrete Schrödinger equations with unbounded potentials. We find simple sufficient conditions for the existence of discrete soliton solution by using the Nehari manifold approach and the compact ...
Meihua Huang, Zhan Zhou
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