Abundant exact solutions to a generalized nonlinear Schrödinger equation with local fractional derivative
Sign Up to like & getrecommendations! Published in 2021 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.7302
Abstract: The paper aims to employ a new effective methodology to build exact fractional solutions to the generalized nonlinear Schrödinger equation with a local fractional operator defined on Cantor sets. The equation contains group velocity dispersion… read more here.
Keywords: generalized nonlinear; nonlinear schr; solutions generalized; equation ... See more keywords
Structure of optical soliton solutions for the generalized higher-order nonlinear Schrödinger equation with light-wave promulgation in an optical fiber
Sign Up to like & getrecommendations! Published in 2018 at "Optical and Quantum Electronics"
DOI: 10.1007/s11082-018-1600-3
Abstract: In this work, we investigate unprecedented optical closed form of solutions for the generalized higher-order nonlinear Schrödinger equation. This vital model in the optical fiber. Schrödinger equation describes the promulgation of the light-wave in an… read more here.
Keywords: solutions generalized; dinger equation; schr dinger; optical fiber ... See more keywords
New bright and dark soliton solutions for a generalized nonlinear Schrödinger equation
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DOI: 10.1016/j.ijleo.2018.09.039
Abstract: Abstract In this paper, we obtain new dark and bright soliton solutions of the generalized nonlinear Schrodinger equation that describes the ultrashort pulses propagate through a nonlinear medium. Using a traveling wave ansatz, the nonlinear… read more here.
Keywords: soliton solutions; generalized nonlinear; ordinary differential; equation ... See more keywords
Optical soliton solutions to the generalized nonautonomous nonlinear Schrödinger equations in optical fibers via the sine-Gordon expansion method
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DOI: 10.1016/j.ijleo.2019.164132
Abstract: Abstract This article presents soliton solutions to the generalized nonautonomous nonlinear Schrodinger equations (with time-dependent coefficients) via the sine-Gordon expansion method. A bundle of fibers can be used to make a device called an endoscope… read more here.
Keywords: nonautonomous nonlinear; method; solutions generalized; soliton solutions ... See more keywords
On the global classical solutions for the generalized SQG equation
Sign Up to like & getrecommendations! Published in 2022 at "Journal of Functional Analysis"
DOI: 10.1016/j.jfa.2022.109503
Abstract: In this paper, we study the existence of global classical solutions to the generalized surface quasi-geostrophic equation. By using the variational method, we provide some new families of global classical solutions for to the generalized… read more here.
Keywords: generalized sqg; sqg equation; classical solutions; global classical ... See more keywords
Control parameter & solutions to generalized evolution equations of stationarity, relaxation and diffusion
Sign Up to like & getrecommendations! Published in 2018 at "Results in physics"
DOI: 10.1016/j.rinp.2018.04.051
Abstract: Abstract It has become a conjecture that power series like Mittag-Leffler functions and their variants naturally govern solutions to most of generalized fractional evolution models such as kinetic, diffusion or relaxation equations. Is this always… read more here.
Keywords: relaxation; diffusion; evolution equations; generalized evolution ... See more keywords
Rapidly oscillating solutions of a generalized Korteweg–de Vries equation
Sign Up to like & getrecommendations! Published in 2017 at "Computational Mathematics and Mathematical Physics"
DOI: 10.1134/s0965542517110082
Abstract: For a generalized Korteweg–de Vries equation, the existence of families of rapidly oscillating periodic solutions is proved and their asymptotic representation is found. The asymptotics of tori of different dimensions are examined. Formulas for solutions… read more here.
Keywords: generalized korteweg; solutions generalized; rapidly oscillating; korteweg vries ... See more keywords
Fundamental Solutions of the Generalized Helmholtz Equation with Several Singular Coefficients and Confluent Hypergeometric Functions of Many Variables
Sign Up to like & getrecommendations! Published in 2019 at "Lobachevskii Journal of Mathematics"
DOI: 10.1134/s1995080220010047
Abstract: Abstract An investigation of applied problems related to heat conduction and dynamics, electromagnetic oscillations and aerodynamics, quantum mechanics and potential theory leads to the study of various hypergeometric functions. The great success of the theory… read more here.
Keywords: confluent hypergeometric; hypergeometric functions; fundamental solutions; solutions generalized ... See more keywords
Bifurcations of traveling wave solutions for a generalized Camassa-Holm equation
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Applied Analysis and Computation"
DOI: 10.11948/2018.1851
Abstract: In this paper, the traveling wave solutions for a generalized CamassaHolm equation ut−uxxt = 12 (p+1)(p+2)u ux− 1 2p(p−1)u ux−2puuxuxx− uuxxx are investigated. By using the bifurcation method of dynamical systems, three major results for… read more here.
Keywords: generalized camassa; wave solutions; solutions generalized; equation ... See more keywords
Solutions of a generalized markoff equation in Fibonacci numbers
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DOI: 10.1515/ms-2017-0414
Abstract: Abstract In this paper, we find all the solutions (X, Y, Z) = (FI, FJ, FK), where FI, FJ, and FK represent nonzero Fibonacci numbers, satisfying a generalization of Markoff equation called the Jin-Schmidt equation:… read more here.
Keywords: generalized markoff; markoff equation; fibonacci numbers; solutions generalized ... See more keywords
On Continuation of Solutions of Generalized Cauchy–Riemann System in an Unbounded Subdomain of Multidimensional Space
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DOI: 10.3103/s1066369x21020031
Abstract: In this paper, we consider the problem of recovery of solutions to a generalized Cauchy–Riemann system in an unbounded subdomain of a multidimensional space from their values on a part of the domain boundary. With… read more here.
Keywords: unbounded subdomain; riemann system; cauchy riemann; system unbounded ... See more keywords