New auxiliary equation approach to derive solutions of fractional resonant Schrödinger equation

DOI10.1007/s13324-021-00519-yzbMath1477.35247OpenAlexW3199460457MaRDI QIDQ2241291

Eric Tala Tebue, Nauman Raza, Hadi Rezazadeh, Alper Korkmaz

Publication date: 8 November 2021

Published in: Analysis and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13324-021-00519-y

zbMATH Keywords

exact solutiontraveling wave solutionauxiliary equation methodconformable derivativefractional resonant nonlinear Schrödinger equation

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) NLS equations (nonlinear Schrödinger equations) (35Q55) Traveling wave solutions (35C07) Methods of ordinary differential equations applied to PDEs (35A24) Fractional partial differential equations (35R11) Trigonometric solutions to PDEs (35C09)

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Cites Work

• The first integral method for Wu-Zhang system with conformable time-fractional derivative
• Exact travelling wave solutions for four forms of nonlinear Klein-Gordon equations
• A new auxiliary equation and exact travelling wave solutions of nonlinear equations
• New solitary wave solutions for the conformable Klein-Gordon equation with quantic nonlinearity
• A new definition of fractional derivative
• Exact solutions of space-time fractional EW and modified EW equations
• Dark Soliton Solutions of Space-Time Fractional Sharma–Tasso–Olver and Potential Kadomtsev–Petviashvili Equations
• Explicit exact solutions to some one-dimensional conformable time fractional equations
• Exact Solutions to (3+1) Conformable Time Fractional Jimbo–Miwa, Zakharov–Kuznetsov and Modified Zakharov–Kuznetsov Equations
• The unified method for conformable time fractional Schrödinger equation with perturbation terms

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