Soliton-defect collisions in the nonlinear Schrödinger equation

From MaRDI portal
Publication:1965714

DOI10.1016/0375-9601(95)00611-6zbMath1020.78505OpenAlexW2099329681MaRDI QIDQ1965714

Yanyan Li

Publication date: 8 February 2000

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0375-9601(95)00611-6




Related Items (34)

Homoclinic tubes and chaos in perturbed sine-Gordon equationStrong NLS soliton-defect interactionsArtificial boundary condition for one-dimensional nonlinear Schrödinger problem with Dirac interaction: existence and uniqueness resultsInstability of cnoidal-peak for the NLS-δ equationWave interactions and wave-structure scattering in nonlinear patterned waveguidesThe non-linear Schrödinger equation with a periodic \(\delta\)-interactionNLS ground states on the half-line with point interactionsMulti-symplectic simulation on soliton-collision for nonlinear perturbed Schrödinger equationStability and symmetry-breaking bifurcation for the ground states of a NLS with a \(\delta ^{\prime}\) interactionThe global well‐posedness for nonlinear Schrödinger equation with the delta potential in the energy spaceTransmission of fast solitons for the NLS with an external potentialPropagation of discrete solitons in inhomogeneous networksBreather trapping mechanism in piecewise homogeneous DNAInstability of bound states of a nonlinear Schrödinger equation with a Dirac potentialFast soliton scattering by delta impuritiesSpectral splitting method for nonlinear Schrödinger equations with singular potentialTime-dependent defects in integrable soliton equationsUnidirectional flow of composite bright-bright solitons through asymmetric double potential barriers and wellsDetailed comparison of numerical methods for the perturbed sine-Gordon equation with impulsive forcingOn the Cauchy Problem and the Black Solitons of a Singularly Perturbed Gross--Pitaevskii EquationSoliton propagation on chains with simple nonlocal defectsInstability of static solutions of the sine-Gordon equation on a \(\mathcal{Y}\)-junction graph with \(\delta\)-interactionInteraction of sine-Gordon kinks with defects: Phase space transport in a two-mode modelLong-range interactions between adjacent and distant bases in a DNA and their impact on the ribonucleic acid polymerase-DNA dynamicsSurface solitons in trilete latticesInteraction of solitons with impurities in anisotropic ferromagnetic chainsStability of two soliton collision for nonintegrable gKdV equationsVariational properties and orbital stability of standing waves for NLS equation on a star graphFast Soliton Scattering by Attractive Delta ImpuritiesSimulating an all-optical quantum controlled-NOT gate using soliton scattering by a reflectionless potential wellLinear instability criterion for the Korteweg–de Vries equation on metric star graphsA quantitative study of the nonlinear Schrödinger equation with singular potential of any derivative ordersStability properties of standing waves for NLS equations with the \(\delta^\prime\)-interactionSolitary waves in an inhomogeneous chain of α-helical proteins




This page was built for publication: Soliton-defect collisions in the nonlinear Schrödinger equation