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   Articles with "solutions coupled" as a keyword



Finite Genus Solutions to the Coupled Burgers Hierarchy

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recommendations! Published in 2018 at "Results in Mathematics"

DOI: 10.1007/s00025-018-0934-2

Abstract: The coupled Burgers hierarchy is derived with the aid of Lenard recursion sequences. Based on the characteristic polynomial of Lax matrix, a trigonal curve of arithmetic genus $$m-2$$m-2 is introduced, from which the meromorphic functions… read more here.

Keywords: coupled burgers; finite genus; genus solutions; burgers hierarchy ... See more keywords

Chaotic Traveling Wave Solutions in Coupled Chua’s Circuits

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recommendations! Published in 2017 at "Journal of Dynamics and Differential Equations"

DOI: 10.1007/s10884-017-9631-1

Abstract: Coupled arrays of Chua’s circuits have been studied for many years. The existence of traveling wave solutions for such system was shown numerically in Perez-Munuzuri et al. (Traveling wave front and its failure in a… read more here.

Keywords: system; wave solutions; solutions coupled; chaotic traveling ... See more keywords

Semirational solutions to the coupled Fokas–Lenells equations

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recommendations! Published in 2018 at "Nonlinear Dynamics"

DOI: 10.1007/s11071-018-4552-z

Abstract: The Darboux transformation for the coupled Fokas–Lenells equations and the special vector solution of the corresponding Lax pair are constructed. Utilizing a limiting process, some novel high-order semirational solutions of the coupled system are given.… read more here.

Keywords: lenells equations; order; coupled fokas; solutions coupled ... See more keywords
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New exact solutions for coupled nonlinear system of ion sound and Langmuir waves

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recommendations! Published in 2019 at "Indian Journal of Physics"

DOI: 10.1007/s12648-019-01522-7

Abstract: In this work, our main goal is to study a new wave behavior of the nonlinear system associated with ionic wave equations under the influence of the ponderomotive force caused by a nonlinear force experienced… read more here.

Keywords: system; coupled nonlinear; nonlinear system; solutions coupled ... See more keywords
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An effective approximation to the dispersive soliton solutions of the coupled KdV equation via combination of two efficient methods

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recommendations! Published in 2020 at "Computational and Applied Mathematics"

DOI: 10.1007/s40314-020-1109-9

Abstract: The numerical solutions of the coupled Korteweg-de Vries equation is investigated via combination of two efficient methods that includes Crank–Nicolson scheme for time integration and quintic B-spline based differential quadrature method for space integration. The… read more here.

Keywords: combination two; soliton; via combination; solutions coupled ... See more keywords

New double periodic exact solutions of the coupled Schrödinger–Boussinesq equations describing physical processes in laser and plasma physics

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recommendations! Published in 2017 at "Chinese Journal of Physics"

DOI: 10.1016/j.cjph.2017.08.022

Abstract: Abstract A novel method is proposed to seek more new exact solutions for coupled Schrodinger–Boussinesq equations. In this present paper, an improved algebraic method based on the generalized Jacobi elliptic function method with symbolic computation… read more here.

Keywords: boussinesq equations; method; physics; double periodic ... See more keywords

Optical bright and dark soliton solutions for coupled nonlinear Schrödinger (CNLS) equations by the variational iteration method

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recommendations! Published in 2020 at "Optik"

DOI: 10.1016/j.ijleo.2020.164457

Abstract: Abstract This paper studies optical bright and dark soliton solutions for coupled nonlinear Schrodinger (CNLS) equations in the anomalous and dispersive regimes. We operate the variational iteration method (VIM) to derive a set of diverse… read more here.

Keywords: soliton solutions; bright dark; optical bright; dark soliton ... See more keywords
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Normalized solutions for a coupled Schrödinger system with saturable nonlinearities

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recommendations! Published in 2018 at "Journal of Mathematical Analysis and Applications"

DOI: 10.1016/j.jmaa.2017.10.057

Abstract: Abstract We study the existence of prescribed L 2 -norm solutions for the coupled Schrodinger system with saturable nonlinearities, which appears in models for propagation of a beam with two mutually incoherent components in a… read more here.

Keywords: system saturable; normalized solutions; solutions coupled; saturable nonlinearities ... See more keywords

New precise solitary wave solutions for coupled Higgs field equations via two enhanced methods

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recommendations! Published in 2025 at "Scientific Reports"

DOI: 10.1038/s41598-025-98309-0

Abstract: We utilized the enhanced Sardar sub-equation and generalized Riccati equation methods to explore precise solitary wave solutions for the coupled Higgs field equations. These equations characterize the behavior of conserved scalar nucleons interacting with a… read more here.

Keywords: wave solutions; solitary wave; precise solitary; coupled higgs ... See more keywords

Multi-soliton solutions of coupled Lakshmanan–Porsezian–Daniel equations with variable coefficients under nonzero boundary conditions

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recommendations! Published in 2024 at "Chinese Physics B"

DOI: 10.1088/1674-1056/ad4d64

Abstract: This paper aims to investigate the multi-soliton solutions of the coupled Lakshmanan–Porsezian–Daniel equations with variable coefficients under nonzero boundary conditions. These equations are utilized to model the phenomenon of nonlinear waves propagating simultaneously in non-uniform… read more here.

Keywords: porsezian daniel; coupled lakshmanan; soliton solutions; multi soliton ... See more keywords

Soliton and traveling-wave solutions in coupled one-dimensional condensates

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recommendations! Published in 2025 at "Physical Review A"

DOI: 10.1103/1jrc-3dy1

Abstract: Ultracold condensates provide a unique platform for exploring soliton physics. Motivated by the recent experiments realizing the sine-Gordon model in a split one-dimensional (1D) BEC, we demonstrate that this system naturally supports various density and… read more here.

Keywords: soliton traveling; wave solutions; traveling wave; one dimensional ... See more keywords