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- W2901485655 abstract "In this paper, we establish new two-mode coupled Burgers’ equations which are introduced to the first time. We derive the multiple kink and singular solutions for new two-mode coupled Burgers’ equation. We find the necessary conditions in which these solutions exist. We investigate the necessary conditions to have kink and singular kink solutions for the new two-mode coupled Burgers’ equations. We write an explicit form for the single-soliton solution of the two-mode coupled Burgers’ equations. We find the necessary conditions in which the multiple kink and multiple singular kink solutions exist. The two-front solutions of the two-mode coupled Burgers’ equations are presented. The two-kink solutions and the two-singular-kink solutions are obtained. The three-front solutions of the two-mode coupled Burgers’ equations are presented. The three-kink solution and the three-singular-kink solution are obtained. In general, the N-front solutions and the singular N-kink solution of the two-mode coupled Burgers’ equations are given. To show the reliability of the proposed solution, we present some of our numerical results." @default.
- W2901485655 created "2018-11-29" @default.
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- W2901485655 date "2018-12-01" @default.
- W2901485655 modified "2023-09-23" @default.
- W2901485655 title "A new two-mode coupled Burgers equation: Conditions for multiple kink solution and singular kink solution to exist" @default.
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- W2901485655 doi "https://doi.org/10.1016/j.asej.2017.12.005" @default.
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