Blow-up results and soliton solutions for a generalized variable coefficient nonlinear Schrödinger equation

DOI10.1016/j.amc.2016.12.018zbMath1411.81083arXiv1605.07554OpenAlexW2964084514MaRDI QIDQ1735257

J. Escorcia, Erwin Suazo

Publication date: 28 March 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1605.07554

zbMATH Keywords

Gross-Pitaevskii equationfiber opticssimilarity transformationssoliton-like equationsnonlinear Schrödinger-like equationsRiccati-Ermakov systems

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) NLS equations (nonlinear Schrödinger equations) (35Q55) Solutions to PDEs in closed form (35C05) Blow-up in context of PDEs (35B44)

Related Items (2)

Riccati-Ermakov systems and explicit solutions for variable coefficient reaction-diffusion equations ⋮ Lie symmetry analysis of (2+1)-dimensional KdV equations with variable coefficients

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