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A study on linear and nonlinear Schrodinger equations by the variational iteration method

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  • Wazwaz, Abdul-Majid

Abstract

In this work, we introduce a framework to obtain exact solutions to linear and nonlinear Schrodinger equations. The He’s variational iteration method (VIM) is used for analytic treatment of these equations. Numerical examples are tested to show the pertinent features of this method.

Suggested Citation

  • Wazwaz, Abdul-Majid, 2008. "A study on linear and nonlinear Schrodinger equations by the variational iteration method," Chaos, Solitons & Fractals, Elsevier, vol. 37(4), pages 1136-1142.
    • Handle: RePEc:eee:chsofr:v:37:y:2008:i:4:p:1136-1142
    DOI: 10.1016/j.chaos.2006.10.009
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    1. Abulwafa, E.M. & Abdou, M.A. & Mahmoud, A.A., 2006. "The solution of nonlinear coagulation problem with mass loss," Chaos, Solitons & Fractals, Elsevier, vol. 29(2), pages 313-330.
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    Cited by:

    1. Rizvi, Syed T.R. & Seadawy, Aly R. & Ahmed, Sarfaraz & Younis, Muhammad & Ali, Kashif, 2021. "Study of multiple lump and rogue waves to the generalized unstable space time fractional nonlinear Schrödinger equation," Chaos, Solitons & Fractals, Elsevier, vol. 151(C).
    2. Shidfar, A. & Molabahrami, A. & Babaei, A. & Yazdanian, A., 2009. "A study on the d-dimensional Schrödinger equation with a power-law nonlinearity," Chaos, Solitons & Fractals, Elsevier, vol. 42(4), pages 2154-2158.
    3. Mrutyunjaya Sahoo & Snehashish Chakraverty, 2022. "Sawi Transform Based Homotopy Perturbation Method for Solving Shallow Water Wave Equations in Fuzzy Environment," Mathematics, MDPI, vol. 10(16), pages 1-24, August.
    4. Ulutas, Esma, 2021. "Travelling wave and optical soliton solutions of the Wick-type stochastic NLSE with conformable derivatives," Chaos, Solitons & Fractals, Elsevier, vol. 148(C).
    5. Goh, S.M. & Noorani, M.S.M. & Hashim, I., 2009. "Efficacy of variational iteration method for chaotic Genesio system – Classical and multistage approach," Chaos, Solitons & Fractals, Elsevier, vol. 40(5), pages 2152-2159.
    6. Ravi Kanth, A.S.V. & Aruna, K., 2009. "Two-dimensional differential transform method for solving linear and non-linear Schrödinger equations," Chaos, Solitons & Fractals, Elsevier, vol. 41(5), pages 2277-2281.
    7. Aydın, Ayhan, 2009. "Multisymplectic integration of N-coupled nonlinear Schrödinger equation with destabilized periodic wave solutions," Chaos, Solitons & Fractals, Elsevier, vol. 41(2), pages 735-751.

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