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    • Patterns of propagation of high-order nonlinear dispersion wave modelled by the generalised KP equation

      BIN LI CHUN-YAN WANG

      Research Article Volume 94 Published: 5 April 2020 Article ID 0063

    • Fulltext

       

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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pram/094/0063

    • Keywords

       

      Complete discrimination system for the polynomial; patterns of propagation; generalised Kadomtsev– Petviashvili equation; solitons

    • Abstract

       

      A wide range of two-dimensional nonlinear wave is described by Kadomtsev–Petviashvili (KP) equation. We obtained the classification of travelling wave patterns to the generalised KP equation with high-ordernonlinear dispersive and dissipative terms. Among these patterns, some new phenomena can be acquired for the first time. Representations of wave propagation patterns were achieved by taking specific values of parameters. This means that all these patterns can be realised under appropriate physical conditions.

    • Author Affiliations

       

      BIN LI1 CHUN-YAN WANG1 2

      1. Department of Mathematics, Northeast Petroleum University, Daqing 163318, China
      2. Department of Mathematics, Center of Nonlinear Science, Northeast Petroleum University, Daqing 163318, China

    • Dates

       
      Published
      5 April 2020
      Manuscript received
      2 December 2019
      Manuscript revised
      24 January 2020
      Accepted
      5 February 2020
      Early published
      Unedited version published online
      Final version published online
      3 April 2020

  • Pramana – Journal of Physics | News

    • Editorial Note on Continuous Article Publication

      Posted on July 25, 2019

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