Local well-posedness for the nonlinear heat and Schrödinger equations with nonlinear Wentzell boundary conditions on time-dependent compact Riemannian manifolds [PDF]
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
Quasi–periodic and periodic solutions for coupled nonlinear Schrödinger equations of Manakov type [PDF]
P. L. Christiansen+3 more
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Homogenization for the nonlinear Schrödinger equation with sprinkled nonlinearity [PDF]
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
Soliton interactions in perturbed nonlinear Schrödinger equations [PDF]
J.A. Besley+2 more
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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
Annalisa Calini+3 more
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Stationary solutions of the one-dimensional nonlinear Schrödinger equation. II. Case of attractive nonlinearity [PDF]
Lincoln D. Carr+2 more
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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
Stability analysis of the D-dimensional nonlinear Schrödinger equation with trap and two- and three-body interactions [PDF]
A. Gammal+3 more
openalex +1 more source
Large Time Behavior of Solutions for Derivative Cubic Nonlinear Schrödinger Equations
Nakao Hayashi+2 more
openalex +2 more sources