The unified method for conformable time fractional Schrödinger equation with perturbation terms

DOI10.1016/j.cjph.2018.06.009OpenAlexW2807747619MaRDI QIDQ6197337

Mohamed Sayed Ali Osman, Qin Zhou, Mostafa Eslami, Hadi Rezazadeh, Mohammad Mirzazadeh, Alper Korkmaz

Publication date: 19 March 2024

Published in: Chinese Journal of Physics (Taipei) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cjph.2018.06.009

zbMATH Keywords

periodicunified methodconformable fractional derivativetime-fractional nonlinear Schrödinger equationelliptic and soliton solutionsoptical solitary

Mathematics Subject Classification ID

Partial differential equations of mathematical physics and other areas of application (35Qxx) Representations of solutions to partial differential equations (35Cxx) Miscellaneous topics in partial differential equations (35Rxx)

Related Items (8)

The \((3+1)\)-dimensional Wazwaz-KdV equations: the conservation laws and exact solutions ⋮ Structures of exact solutions for the modified nonlinear Schrödinger equation in the sense of conformable fractional derivative ⋮ Conservation laws, soliton-like and stability analysis for the time fractional dispersive long-wave equation ⋮ The new exact solitary wave solutions and stability analysis for the \((2+1)\)-dimensional Zakharov-Kuznetsov equation ⋮ New auxiliary equation approach to derive solutions of fractional resonant Schrödinger equation ⋮ Exact analytical solutions of nonlinear fractional Liouville equation by extended complex method ⋮ Numerical solutions of fractional delay differential equations using Chebyshev wavelet method ⋮ Numerical solution of time-fractional Kawahara equation using reproducing kernel method with error estimate

Cites Work

• Unnamed Item
• The first integral method for Wu-Zhang system with conformable time-fractional derivative
• On conformable fractional calculus
• The first integral method to some complex nonlinear partial differential equations
• The first integral method for solving some important nonlinear partial differential equations
• Travelling wave solutions for the generalized Zakharov-Kuznetsov equation with higher-order nonlinear terms
• A sine-cosine method for handling nonlinear wave equations
• The first integral method to the two-dimensional Burgers-Korteweg-de Vries equation
• A new definition of fractional derivative
• Exact solutions of space-time fractional EW and modified EW equations
• Nonlinear interaction of solitary waves described by multi-rational wave solutions of the \((2+1)\)-dimensional Kadomtsev-Petviashvili equation with variable coefficients
• An efficient algorithm to construct multi-soliton rational solutions of the \((2+ 1)\)-dimensional KdV equation with variable coefficients
• Dynamic of DNA's possible impact on its damage
• The first-integral method to study the Burgers–Korteweg–de Vries equation
• New Exact Traveling Wave Solutions of the Unstable Nonlinear Schrödinger Equations
• Density-Dependent Conformable Space-time Fractional Diffusion-Reaction Equation and Its Exact Solutions
• Bright and dark soliton solutions for variable-coefficient diffusion–reaction and modified Korteweg–de Vries equations
• Exact Solutions to (3+1) Conformable Time Fractional Jimbo–Miwa, Zakharov–Kuznetsov and Modified Zakharov–Kuznetsov Equations
• Exact Solution of Space-Time Fractional Coupled EW and Coupled MEW Equations Using Modified Kudryashov Method
• On the Variational Approach for Analyzing the Stability of Solutions of Evolution Equations

This page was built for publication: The unified method for conformable time fractional Schrödinger equation with perturbation terms