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Bilinearization and Analytic Solutions of \((2+1)\)-Dimensional Generalized Hirota-Satsuma-Ito Equation

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Proceedings of International Conference on Trends in Computational and Cognitive Engineering

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 1169))

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Abstract

On the basis of derived bilinear form of \((2+1)\)-dimensional generalized Hirota-Satsuma-Ito equation with general coefficients, we emphasize on obtaining new analytic solutions of the considered equation. A novel test function has been appointed to formally derive various exact solutions containing abundant arbitrary constants. New solutions consist of hyperbolic, trigonometric, and exponential functions. Three-dimensional plots of all exact solutions determined in this research have also been provided in uniform manner.

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Authors and Affiliations

  1. Jaypee Institute of Information Technology, Noida, U.P, India

    Pallavi Verma & Lakhveer Kaur

Authors
  1. Pallavi Verma
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  2. Lakhveer Kaur
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Corresponding author

Correspondence to Lakhveer Kaur .

Editor information

Editors and Affiliations

  1. Central University of Haryana, Mahendergarh, India

    Phool Singh

  2. Central University of Haryana, Mahendergarh, India

    Rajesh Kumar Gupta

  3. Amity School of Applied Sciences, Amity School of Engineering and Technology (ASET), Jaipur, Rajasthan, India

    Kanad Ray

  4. Surface Characterization Group, National Institute for Materials Science (NIMS), Tsukuba, Ibaraki, Japan

    Anirban Bandyopadhyay

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Verma, P., Kaur, L. (2021). Bilinearization and Analytic Solutions of \((2+1)\)-Dimensional Generalized Hirota-Satsuma-Ito Equation. In: Singh, P., Gupta, R.K., Ray, K., Bandyopadhyay, A. (eds) Proceedings of International Conference on Trends in Computational and Cognitive Engineering. Advances in Intelligent Systems and Computing, vol 1169. Springer, Singapore. https://doi.org/10.1007/978-981-15-5414-8_19

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