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Keywords = bidirectional sixth-order Sawada–Kotera equation

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11 pages, 6791 KB  
Communication
Novel Exact Solution for the Bidirectional Sixth-Order Sawada–Kotera Equation
by Hongcai Ma, Xiaoyu Chen and Aiping Deng
Universe 2023, 9(1), 55; https://doi.org/10.3390/universe9010055 - 15 Jan 2023
Cited by 4 | Viewed by 2074
Abstract
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 [...] Read more.
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. Full article
(This article belongs to the Section Mathematical Physics)
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