Results 141 to 150 of about 746,627 (265)

Local well-posedness for the nonlinear heat and Schrödinger equations with nonlinear Wentzell boundary conditions on time-dependent compact Riemannian manifolds [PDF]

open access: yesarXiv
We prove a local well-posedness result for the semilinear heat and Schr\"{o}dinger equations with subcritical nonlinearities posed on a time-dependent compact Riemannian manifold and supplied with a nonlinear dynamical boundary condition of Wentzell type.
arxiv  

Homogenization for the nonlinear Schrödinger equation with sprinkled nonlinearity [PDF]

open access: yesarXiv
We first prove homogenization for the nonlinear Schr\"odinger equation with sprinkled nonlinearity introduced in [19]. We then investigate how solutions fluctuate about the homogenized solution.
arxiv  

Elliptic function solutions and travelling wave solutions of nonlinear Dodd-Bullough-Mikhailov, two-dimensional Sine-Gordon and coupled Schrödinger-KdV dynamical models

open access: yesResults in Physics, 2018
In this article, we construct the traveling wave and elliptic function solutions of some special nonlinear evolution equations which are arising in mathematical physics, solid-state physics, fluid flow, fluid dynamics, nonlinear optics, electromagnetic ...
Dianchen Lu   +2 more
doaj  

Mel'nikov analysis of numerically induced chaos in the nonlinear Schrödinger equation

open access: hybrid, 1996
Annalisa Calini   +3 more
openalex   +1 more source

Nonlinear Schrödinger equations with spatio-temporal dispersion in Kerr, parabolic, power and dual power law media: A novel extended Kudryashov’s algorithm and soliton solutions

open access: yesResults in Physics, 2017
In this study, we perform the extended Kudryashov method to nonlinear Schrödinger equation (NLSE) with spatio-temporal dispersion that arises in a propagation of light in nonlinear optical fibers, planar waveguides, Bose–Einstein condensate theory.
Yakup Yıldırım   +2 more
doaj  

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