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

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    • 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



      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

  • Pramana – Journal of Physics | News

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      Posted on July 25, 2019

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