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A Robust Analytical Method for Regularized Long Wave Equations

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Abstract

The approximate solutions of regularized long wave (RLW) equations have been discussed here. According to the RLW equations, two solitary waves can pass through each other with reduced amplitude and produce secondary waves. RLW equations also model basic ocean engineering and research phenomena, such as shallow-water waves with long wavelengths and small amplitudes. An efficient analytical method known as the Aboodh transform homotopy perturbation method (ATHPM) has been utilized to examine RLW problems. The suggested method combines two effective techniques, the Aboodh transform and the homotopy perturbation method, to obtain accurate and approximate solutions to RLW equations. The outcome demonstrates that the ATHPM is extremely powerful, efficient and straightforward.

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Acknowledgements

The authors are grateful to Sardar Vallabhbhai National Institute of Technology, Surat, for providing such a fantastic study opportunity. They also appreciate the editor’s and unknown reviewer’s valuable comments, which helped to enhance the revised version of the work.

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Author notes

  1. T. R. Singh, contributed equally to this work.

Authors and Affiliations

  1. Department of Mathematics, Shri S’ad Vidya Mandal Institute of Technology, Bharuch, Gujarat, 392001, India

    Haresh P. Jani

  2. Department of Mathematics and Humanities, Sardar Vallabhbhai National Institute of Technology, Surat, Gujarat, 395007, India

    Twinkle R. Singh

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  1. Haresh P. Jani
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  2. Twinkle R. Singh
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All the authors contributed equally in the whole manuscript.

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Correspondence to Haresh P. Jani.

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Jani, H.P., Singh, T.R. A Robust Analytical Method for Regularized Long Wave Equations. Iran J Sci Technol Trans Sci 46, 1667–1679 (2022). https://doi.org/10.1007/s40995-022-01380-9

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