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Application of new Kudryashov method to various nonlinear partial differential equations

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Abstract

The purpose of this work is to seek various innovative exact solutions using the new Kudryashov approach to the nonlinear partial differential equations (NLPDEs). This technique obtains novel exact solutions of soliton types. Moreover, several 3D and 2D plots of the higher dimensional Klein-Gordon, Kadomtsev-Petviashvili, and Boussinesq equations are demonstrated by considering the relevant values of the aforementioned parameters to exhibit the nonlinear wave structures more adequately. The new Kudryashov technique is an effective, and simple technique that provides new generalized solitonic wave profiles. It is anticipated that these novel solutions will enable a thorough understanding of the development and dynamic nature of such models.

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Acknowledgements

The authors would like to thank the Deanship of Scientific Research at Umm Al-Qura University for supporting this work by Grant Code: (22UQU4410172DSR17).

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Authors and Affiliations

  1. Department of Mathematics and Statistics, Central University of Punjab, Bathinda, Punjab, 151401, India

    Sandeep Malik & Sachin Kumar

  2. Department of Mathematics, University of Bonab, Bonab, Iran

    Mir Sajjad Hashemi

  3. Faculty of Engineering Technology, Amol University of Special Modern Technologies, Amol, Iran

    Hadi Rezazadeh

  4. Department of Mathematics, Faculty of Science, Cairo University, Giza, 12613, Egypt

    W. Mahmoud

  5. Department of Mathematics, Faculty of Applied Science, Umm Al-Qura University, Mecca, 21955, Saudi Arabia

    M. S. Osman

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  1. Sandeep Malik
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  2. Mir Sajjad Hashemi
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Malik, S., Hashemi, M.S., Kumar, S. et al. Application of new Kudryashov method to various nonlinear partial differential equations. Opt Quant Electron 55, 8 (2023). https://doi.org/10.1007/s11082-022-04261-y

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