Symbolic-computation study of the perturbed nonlinear Schrödinger model in inhomogeneous optical fibers
From MaRDI portal
Publication:927057
DOI10.1016/j.physleta.2005.05.041zbMath1222.78043OpenAlexW2163589194MaRDI QIDQ927057
Publication date: 21 May 2008
Published in: Physics Letters. A (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.physleta.2005.05.041
PDEs in connection with optics and electromagnetic theory (35Q60) NLS equations (nonlinear Schrödinger equations) (35Q55) Lasers, masers, optical bistability, nonlinear optics (78A60)
Related Items
Solitons, Bäcklund transformation and Lax pair for a variable-coefficient generalized Boussinesq system in the shallow water ⋮ Multi-solitonic solutions for the variable-coefficient variant Boussinesq model of the nonlinear water waves ⋮ Topological solitons of the nonlinear Schrödinger's equation with fourth order dispersion ⋮ Bäcklund transformation and conservation laws for the variable-coefficient \(N\)-coupled nonlinear Schrödinger equations with symbolic computation ⋮ Integrability and soliton solutions for an \(N\)-coupled nonlinear Schrödinger system in optical fibers ⋮ Variable-coefficient higher-order nonlinear Schrödinger model in optical fibers: variable-coefficient bilinear form, Bäcklund transformation, Brightons and symbolic computation ⋮ Soliton solutions and Bäcklund transformation for the complex Ginzburg-Landau equation ⋮ Gauge transformation between the first-order nonisospectral and isospectral Heisenberg hierarchies ⋮ Analytic study on bound solitons and soliton collisions for the coupled nonlinear Schrödinger equations ⋮ Soliton solutions, Bäcklund transformation and Wronskian solutions for the extended \((2+1)\)-dimensional Konopelchenko-Dubrovsky equations in fluid mechanics ⋮ Gradient-enhanced physics-informed neural networks based on transfer learning for inverse problems of the variable coefficient differential equations ⋮ Soliton-shape-preserving and soliton-complex interactions for a \((1+1)\)-dimensional nonlinear dispersive-wave system in shallow water ⋮ The bifurcation and exact travelling wave solutions of \((1 + 2)\)-dimensional nonlinear Schrödinger equation with dual-power law nonlinearity ⋮ Bright hump solitons for the higher-order nonlinear Schrödinger equation in optical fibers ⋮ \(N\)-solitonic solution in terms of Wronskian determinant for a perturbed variable-coefficient Korteweg-de Vries equation ⋮ Darboux transformation and explicit solutions for the integrable sixth-order KdV equation for nonlinear waves ⋮ ANALYTIC ANALYSIS ON A GENERALIZED (2+1)-DIMENSIONAL VARIABLE-COEFFICIENT KORTEWEG–DE VRIES EQUATION USING SYMBOLIC COMPUTATION ⋮ Rogue-wave interaction for a higher-order nonlinear Schrödinger-Maxwell-Bloch system in the optical-fiber communication ⋮ Soliton solutions and Bäcklund transformations of a (2+1)-dimensional nonlinear evolution equation via the Jaulent-Miodek hierarchy ⋮ ANALYTIC DARK SOLITON SOLUTIONS FOR A GENERALIZED VARIABLE-COEFFICIENT HIGHER-ORDER NONLINEAR SCHRÖDINGER EQUATION IN OPTICAL FIBERS USING SYMBOLIC COMPUTATION ⋮ N-SOLITON-LIKE SOLUTIONS AND BÄCKLUND TRANSFORMATIONS FOR A NON-ISOSPECTRAL AND VARIABLE-COEFFICIENT MODIFIED KORTEWEG-DE VRIES EQUATION ⋮ Analytical study of the nonlinear Schrödinger equation with an arbitrary linear time-dependent potential in quasi-one-dimensional Bose-Einstein condensates ⋮ INTEGRABLE ASPECTS AND SOLITON-LIKE SOLUTIONS OF AN INHOMOGENEOUS COUPLED HIROTA–MAXWELL–BLOCH SYSTEM IN OPTICAL FIBERS WITH SYMBOLIC COMPUTATION ⋮ BILINEAR FORM AND SOLITON SOLUTIONS FOR THE COUPLED NONLINEAR KLEIN–GORDON EQUATIONS ⋮ Painlevé property, soliton-like solutions and complexitons for a coupled variable-coefficient modified Korteweg-de Vries system in a two-layer fluid model ⋮ Symbolic computation on the Darboux transformation for a generalized variable-coefficient higher-order nonlinear Schrödinger equation from fiber optics ⋮ Topological 1-soliton solution of the nonlinear Schrödinger equation with Kerr law nonlinearity in \(1 + 2\) dimensions ⋮ Dynamics of topological optical solitons with time-dependent dispersion, nonlinearity and attenuation ⋮ Macropterons, micropterons and similarity reductions for the regularized Ostrovsky-Grimshaw model for fluids and plasmas with symbolic computation ⋮ New variable separation solutions and nonlinear phenomena for the \((2+1)\)-dimensional modified Korteweg-de Vries equation ⋮ New soliton and periodic solutions of \((1+2)\)-dimensional nonlinear Schrödinger equation with dual-power law nonlinearity ⋮ MODIFIED EXP-FUNCTION METHOD AND VARIABLE-COEFFICIENT KORTEWEG–DE VRIES MODEL FROM BOSE–EINSTEIN CONDENSATES ⋮ SOLITONS AND LOCALIZED EXCITATIONS FOR THE (2+1)-DIMENSIONAL DISPERSIVE LONG WAVE SYSTEM VIA SYMBOLIC COMPUTATION ⋮ Rogue-wave interaction of the generalized variable-coefficient Hirota-Maxwell-Bloch system in fiber optics ⋮ Soliton collision in a general coupled nonlinear Schrödinger system via symbolic computation ⋮ Optical solitons with time-dependent dispersion, nonlinearity and attenuation in a Kerr-law media ⋮ Transformations for a generalized variable-coefficient Korteweg-de Vries model from blood vessels, Bose-Einstein condensates, rods and positons with symbolic computation ⋮ BÄCKLUND TRANSFORMATIONS AND LAX PAIRS FOR THE NONLINEAR KLEIN–GORDON EQUATION WITH SYMBOLIC COMPUTATION ⋮ VARIABLE-COEFFICIENT MIURA TRANSFORMATIONS AND INTEGRABLE PROPERTIES FOR A GENERALIZED VARIABLE-COEFFICIENT KORTEWEG–de VRIES EQUATION FROM BOSE–EINSTEIN CONDENSATES WITH SYMBOLIC COMPUTATION ⋮ N-SOLITON SOLUTIONS, AUTO-BÄCKLUND TRANSFORMATIONS AND LAX PAIR FOR A NONISOSPECTRAL AND VARIABLE-COEFFICIENT KORTEWEG-DE VRIES EQUATION VIA SYMBOLIC COMPUTATION ⋮ Bäcklund Transformation, Lax Pair and Solitons of the (2+1)-dimensional Davey-Stewartson-like Equations with Variable Coefficients for the Electrostatic Wave Packets ⋮ [https://portal.mardi4nfdi.de/wiki/Publication:5230893 Hyperelliptic function solutions with finite genus ������ of coupled nonlinear differential equations*] ⋮ THE PAINLEVÉ INTEGRABILITY AND N-SOLITONIC SOLUTION IN TERMS OF THE WRONSKIAN DETERMINANT FOR A VARIABLE-COEFFICIENT VARIANT BOUSSINESQ MODEL OF NONLINEAR WAVES ⋮ SOLITON INTERACTION OF THE ZAKHAROV–KUZNETSOV EQUATIONS IN PLASMA DYNAMICS ⋮ MULTI-SOLITON SOLUTIONS AND THEIR INTERACTIONS FOR THE (2+1)-DIMENSIONAL SAWADA-KOTERA MODEL WITH TRUNCATED PAINLEVÉ EXPANSION, HIROTA BILINEAR METHOD AND SYMBOLIC COMPUTATION ⋮ Solitonic solutions for a variable-coefficient variant Boussinesq system in the long gravity waves ⋮ Solitary wave solutions for \((1+2)\)-dimensional nonlinear Schrödinger equation with dual power law nonlinearity
Cites Work
- Unnamed Item
- Unnamed Item
- Invariant variational principles and conservation laws for some nonlinear partial differential equations with variable coefficients. II
- Modulational instability induced by randomly varying coefficients for the nonlinear Schrödinger equation
- Applications of the Jacobi elliptic function method to special-type nonlinear equations
- On exact solutions of the nonlinear Schrödinger equations in optical fiber
- Amplitude modulation of nonlinear waves in a fluid-filled tapered elastic tube
- Certain dark-solitonic features in optical fibres
- Dispersion management for solitons in a Korteweg–de Vries system