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International workshop of Mathematical Modelling, Applied Analysis and Computation

ICMMAAC 2018: Mathematical Modelling, Applied Analysis and Computation pp 229–242Cite as

On the Dark and Bright Solitons to the Negative-Order Breaking Soliton Model with (2+1)-Dimensional

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Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 272))

Abstract

This paper deal with the complex the dynamic of cnoidal waves via the negative-order breaking soliton model with (2+1)-dimensional. This model is arisen in the (2+1)-dimensional interaction of the Riemann wave propagated between y-axis and x-axis. The Improved bernoulli sub-equation function method is used in obtaining some complex and dark solutions with hyperbolic function structure. We present the interesting contour surfaces along with 2D and 3D graphics of the obtained analytical solutions in this study, plotted by using several computational programmes such as Matlap, Mathematica and so on. We finally present a comprehensive conclusion.

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Author information

Authors and Affiliations

  1. Department of Mathematics and Science Education, Faculty of Education, Harran University, Sanliurfa, Turkey

    Haci Mehmet Baskonus

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  1. Haci Mehmet Baskonus
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Correspondence to Haci Mehmet Baskonus .

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Editors and Affiliations

  1. Department of Mathematics, JECRC University, Jaipur, Rajasthan, India

    Jagdev Singh

  2. Department of Mathematics, University of Rajasthan, Jaipur, Rajasthan, India

    Devendra Kumar

  3. Department of Mathematics, Gauhati University, Guwahati, Assam, India

    Hemen Dutta

  4. Department of Mathematics, Cankaya University, Balgat, Ankara, Turkey

    Dumitru Baleanu

  5. Department of Mathematics, Rajasthan Technical University, Kota, Rajasthan, India

    Sunil Dutt Purohit

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Baskonus, H.M. (2019). On the Dark and Bright Solitons to the Negative-Order Breaking Soliton Model with (2+1)-Dimensional. In: Singh, J., Kumar, D., Dutta, H., Baleanu, D., Purohit, S. (eds) Mathematical Modelling, Applied Analysis and Computation. ICMMAAC 2018. Springer Proceedings in Mathematics & Statistics, vol 272. Springer, Singapore. https://doi.org/10.1007/978-981-13-9608-3_16

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