Universe (Jan 2023)

Novel Exact Solution for the Bidirectional Sixth-Order Sawada–Kotera Equation

  • Hongcai Ma,
  • Xiaoyu Chen,
  • Aiping Deng

DOI
https://doi.org/10.3390/universe9010055
Journal volume & issue
Vol. 9, no. 1
p. 55

Abstract

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In this paper, we take the bidirectional sixth-order Sawada–Kotera equation as an instance and use a new limit approach to generate a multiple-pole solution and the degenerate of the breather wave from the N-order soliton solution. We show not only the substitution method, but also the specific mathematical expression of the double-pole, triple-pole, and the degenerate breather solution after the substitution. Meanwhile, we give the dynamic images and trajectories of the different multiple-pole solution. Moreover, we also acquire the interaction between two double-pole solutions and different nonlinear superposition solutions.

Keywords