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   Articles with "generalized nonlinear" as a keyword



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Abundant exact solutions to a generalized nonlinear Schrödinger equation with local fractional derivative

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recommendations! 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
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Nonmonotone smoothing Broyden-like method for generalized nonlinear complementarity problems

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recommendations! Published in 2017 at "Journal of Applied Mathematics and Computing"

DOI: 10.1007/s12190-016-1009-8

Abstract: Based on a new symmetrically perturbed smoothing function, the generalized nonlinear complementarity problem defined on a polyhedral cone is reformulated as a system of smoothing equations. Then we suggest a new nonmonotone derivative-free line search… read more here.

Keywords: smoothing broyden; nonlinear complementarity; like method; generalized nonlinear ... See more keywords
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Solving two generalized nonlinear matrix equations

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recommendations! Published in 2020 at "Journal of Applied Mathematics and Computing"

DOI: 10.1007/s12190-020-01448-y

Abstract: In this paper, we consider the numerical solutions of two generalized nonlinear matrix equations. Newton’s method is applied to compute one of the generalized nonlinear matrix equations and a generalized Stein equation is obtained, then… read more here.

Keywords: nonlinear matrix; solving two; generalized nonlinear; matrix equations ... See more keywords
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Abundant exact solutions for the (3+1)-dimensional generalized nonlinear Schrödinger equation with variable coefficients

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recommendations! Published in 2020 at "Chinese Journal of Physics"

DOI: 10.1016/j.cjph.2020.03.010

Abstract: Abstract The (3+1)-dimensional generalized nonlinear Schrodinger equation with variable coefficients (3D-VcgNLSE) and optical lattice is investigated. Bright and dark soliton solutions are presented by two direct ansatz. Two similar solutions are obtained in terms of… read more here.

Keywords: equation variable; variable coefficients; abundant exact; dimensional generalized ... See more keywords
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New bright and dark soliton solutions for a generalized nonlinear Schrödinger equation

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recommendations! Published in 2019 at "Optik"

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
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Highly dispersive optical solitons of the generalized nonlinear eighth-order Schrödinger equation

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recommendations! Published in 2020 at "Optik"

DOI: 10.1016/j.ijleo.2020.164335

Abstract: Abstract The generalized nonlinear eighth-order Schrodinger equation with third, fifth, seventh and ninth power of nonlinearity is studied. This equation can be used for description of the pulse propagation in optical fiber. It is demonstrated… read more here.

Keywords: eighth order; highly dispersive; dispersive optical; nonlinear eighth ... See more keywords
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Transverse Isotropic Criterion Based on Generalized Nonlinear Strength

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recommendations! Published in 2021 at "International Journal of Geomechanics"

DOI: 10.1061/(asce)gm.1943-5622.0002084

Abstract: Abstract The geotechnical materials formed by natural deposition usually have transverse isotropic properties, and the transverse isotropic properties not only have a direct influence on the deform... read more here.

Keywords: isotropic; criterion based; generalized nonlinear; isotropic criterion ... See more keywords
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Characterization of the optimal solution of the convex generalized nonlinear transportation problem

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recommendations! Published in 2019 at "Journal of Interdisciplinary Mathematics"

DOI: 10.1080/09720502.2019.1668151

Abstract: Abstract A convex generalized nonlinear transportation problem is considered in this paper. A necessary and sufficient optimality condition (characterization theorem) for a feasible solution to be an optimal solution to this problem is formulated and… read more here.

Keywords: convex generalized; nonlinear transportation; generalized nonlinear; problem ... See more keywords
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A Note on the Generalized Nonlinear Vector Variational-Like Inequality Problem

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recommendations! Published in 2021 at "Journal of Function Spaces"

DOI: 10.1155/2021/4488217

Abstract: In this paper, we discuss two variants of the generalized nonlinear vector variational-like inequality problem. We provide their solutions by adopting topological approach. Topological properties such as compactness, closedness, and net theory are used in… read more here.

Keywords: like inequality; inequality problem; nonlinear vector; variational like ... See more keywords
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Generalized nonlinear Schrödinger equations describing the Second Harmonic Generation of femtosecond pulse, containing a few cycles, and their integrals of motion

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recommendations! Published in 2019 at "PLoS ONE"

DOI: 10.1371/journal.pone.0226119

Abstract: An interaction of laser pulse, containing a few cycles, with substance is a modern problem, attracting attention of many researches. The frequency conversion is a key problem for a generation of such pulses in various… read more here.

Keywords: pulse; generation; generalized nonlinear; containing cycles ... See more keywords

Hamiltonians of the Generalized Nonlinear Schrödinger Equations

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recommendations! Published in 2023 at "Mathematics"

DOI: 10.3390/math11102304

Abstract: Some types of the generalized nonlinear Schrödinger equation of the second, fourth and sixth order are considered. The Cauchy problem for equations in the general case cannot be solved by the inverse scattering transform. The… read more here.

Keywords: schr dinger; hamiltonians generalized; nonlinear schr; generalized nonlinear ... See more keywords