An approximate analytical solution of the nonlinear Schrödinger equation with harmonic oscillator using homotopy perturbation method and Laplace-Adomian decomposition method

DOI10.1155/2018/6765021zbMath1419.65089OpenAlexW2903023442MaRDI QIDQ2425039

Emad K. Jaradat, Mohammad Abudayah, Omar Alomari, Ala'a M. Al-Faqih

Publication date: 26 June 2019

Published in: Advances in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2018/6765021

zbMATH Keywords

nonlinear Schrödinger equationhomotopy perturbation method (HPM)Laplace-Adomian decomposition method (LADM)

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Related Items (4)

Two numerical methods for solving the Schrödinger parabolic and pseudoparabolic partial differential equations ⋮ Some novel optical solutions for the generalized \(M\)-fractional coupled NLS system ⋮ Analytical study of fractional nonlinear Schrödinger equation with harmonic oscillator ⋮ Padé-Sumudu-Adomian decomposition method for nonlinear Schrödinger equation

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