LAUSR

Localized Wave and Other Special Wave Solutions to the (3 + 1)‐dimensional Kudryashov–Sinelshchikov Equation

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0 Published in 2025 at "Mathematical Methods in the Applied Sciences"

DOI: 10.1002/mma.10764

Abstract: This paper aims to explore some different localized wave solutions to the (3 + 1)‐dimensional Kudryashov–Sinelshchikov equation (KSe) for the liquid with gas bubbles. First, the traveling wave transformation is employed to reduce the dimension of the… read more here.

Keywords: solutions dimensional; wave solutions; localized wave; dimensional kudryashov ... See more keywords

Rational localized wave patterns in the form of Schur polynomials for the (2 + 1)-dimensional Bogoyavlenskii–Kadomtsev–Petviashvili-I equation in fluid dynamics

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0 Published in 2024 at "Physics of Fluids"

DOI: 10.1063/5.0216228

Abstract: In this paper, we derive a family of rational localized wave solutions with any order in the Bogoyavlenskii–Kadomtsev–Petviashvili-I equation in terms of the Kadomtsev–Petviashvili reduction method. These rational localized waves are expressed by the Grammian… read more here.

Keywords: higher order; localized wave; rational localized; wave patterns ... See more keywords

Localized-wave interactions for the discrete nonlinear Schrödinger equation under the nonvanishing background

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0 Published in 2018 at "Physica Scripta"

DOI: 10.1088/1402-4896/aae213

Abstract: In this paper, localized-wave interactions under the nonvanishing background are studied through the Darboux transformation (DT) for the discrete nonlinear Schrodinger equation. First of all, via the elementary DT, we obtain the first-order breather solution… read more here.

Keywords: wave interactions; discrete nonlinear; localized wave; equation ... See more keywords

Interactions of localized wave structures and dynamics in the defocusing coupled nonlinear Schrödinger equations.

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0 Published in 2017 at "Physical Review E"

DOI: 10.1103/physreve.95.042201

Abstract: We investigate the defocusing coupled nonlinear Schrödinger equations from a 3×3 Lax pair. The Darboux transformations with the nonzero plane-wave solutions are presented to derive the newly localized wave solutions including dark-dark and bright-dark solitons,… read more here.

Keywords: nonlinear schr; wave solutions; defocusing coupled; localized wave ... See more keywords