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Rogue wave dynamics in barotropic relaxing media

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Abstract

In this work, we deal with a nonlinear wave equation, namely the Vakhnenko equation, which models the propagation of nonlinear wave in the barotropic relaxing media. Based on the homoclinic breather limit method, we seek rogue wave solution to the above equation. The results show that rogue wave or giant wave can exist in such a medium.

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Authors and Affiliations

  1. National Advanced School of Engineering, University of Yaounde I, P.O. Box 8390, Yaounde, Cameroon

    Serge Paulin T Mukam, Abbagari Souleymanou, Victor K Kuetche & Thomas B Bouetou

  2. Laboratory of Mechanics, Materials and Structures, Department of Physics, University of Yaounde I, P.O. Box 812, Yaounde, Cameroon

    Serge Paulin T Mukam, Abbagari Souleymanou, Victor K Kuetche & Thomas B Bouetou

  3. Centre d’Excellence en Technologies de l’Information et de la Communication (CETIC), University of Yaounde I, P.O. Box 812, Yaounde, Cameroon

    Abbagari Souleymanou, Victor K Kuetche & Thomas B Bouetou

  4. Department of Basic Science, Faculty of Mines, Law and Humanities, Faculty of Mines and Petroleum Industries, University of Maroua, P.O. Box 46, Maroua, Cameroon

    Abbagari Souleymanou

  5. The Abdus Salam International Centre for Theoretical Physics, Strada Costiera, 11, 34151 , Trieste, Italy

    Victor K Kuetche & Thomas B Bouetou

Authors
  1. Serge Paulin T Mukam
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  2. Abbagari Souleymanou
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  3. Victor K Kuetche
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  4. Thomas B Bouetou
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Correspondence to Serge Paulin T Mukam.

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Mukam, S.P.T., Souleymanou, A., Kuetche, V.K. et al. Rogue wave dynamics in barotropic relaxing media. Pramana - J Phys 91, 56 (2018). https://doi.org/10.1007/s12043-018-1633-y

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  • DOI: https://doi.org/10.1007/s12043-018-1633-y

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