New soliton solutions to the fractional perturbed nonlinear Schrodinger equation with power law nonlinearity

DOI10.1007/S40324-016-0070-4zbMath1369.35086OpenAlexW2266182614MaRDI QIDQ2361624

Ahmad Neirameh

Publication date: 30 June 2017

Published in: S\(\vec{\text{e}}\)MA Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40324-016-0070-4

zbMATH Keywords

solitary wave solutionssub equation methodfractional perturbed nonlinear Schrödinger equation with power law nonlinearity

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Perturbations in context of PDEs (35B20) Soliton solutions (35C08) Fractional partial differential equations (35R11) General higher-order partial differential equations and systems of higher-order partial differential equations (35G99)

Related Items (3)

Self-phase modulation via similariton solutions of the perturbed NLSE Modulation instability and induced self-steepening ⋮ New exact solutions of Kolmogorov Petrovskii Piskunov equation, Fitzhugh Nagumo equation, and Newell-Whitehead equation ⋮ Functional variable method for conformable fractional modified KdV-ZK equation and maccari system

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• On conformable fractional calculus
• Counterexamples on Jumarie's two basic fractional calculus formulae
• The extended hyperbolic functions method and new exact solutions to the Zakharov equations
• New exact solutions to the perturbed nonlinear Schrödinger's equation with Kerr law nonlinearity
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• On solution of integral equation of Abel-Volterra type
• A simple transformation for nonlinear waves.
• A new definition of fractional derivative
• Application of a homogeneous balance method to exact solutions of nonlinear equations in mathematical physics
• Modified Riemann-Liouville derivative and fractional Taylor series of nondifferentiable. functions. Further results
• New exact travelling wave solutions using modified extended tanh-function method
• A new Riccati equation rational expansion method and its application to \((2+1)\)-dimensional Burgers equation
• New explicit solitary wave solutions and periodic wave solutions for Whitham-Broer-Kaup equation in shallow water

This page was built for publication: New soliton solutions to the fractional perturbed nonlinear Schrodinger equation with power law nonlinearity