Optical solitons and other solutions to Kudryashov’s equation with three innovative integration norms
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DOI: 10.1016/j.ijleo.2020.164431
Abstract: Abstract This paper applies three different integration algorithms, namely, unified auxiliary equation scheme, new mapping method and extended auxiliary equation criteria to Kudryashov's equation that studies optical solitons with four nonlinear terms. These schemes reveal… read more here.
Keywords: kudryashov equation; integration; solutions kudryashov; optical solitons ... See more keywords
Exact solutions of Kudryashov–Sinelshchikov equation using two analytical techniques
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DOI: 10.1140/epjp/s13360-021-01589-4
Abstract: In this article, we construct the exact solutions of Kudryashov–Sinelshchikov equation (KSE) which is the generalization of KdV and describes the nonlinear waves in mixtures of gas–liquid in the absence of viscosity. We apply the… read more here.
Keywords: kudryashov sinelshchikov; sinelshchikov equation; equation using; solutions kudryashov ... See more keywords
New exact solutions for Kudryashov–Sinelshchikov equation
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DOI: 10.1186/s13662-018-1769-6
Abstract: In this paper, we firstly change the auxiliary second order ordinary differential equation in the G′G$\frac{G'}{G}$-polynomial expansion method to the Riccati equation. By solving the Riccati equation, we obtain more exact solutions to the auxiliary… read more here.
Keywords: sinelshchikov equation; solutions kudryashov; kudryashov sinelshchikov; equation ... See more keywords