Finite Genus Solutions to the Coupled Burgers Hierarchy
Sign Up to like & getrecommendations! 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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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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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
New exact solutions for coupled nonlinear system of ion sound and Langmuir waves
Sign Up to like & getrecommendations! 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
An effective approximation to the dispersive soliton solutions of the coupled KdV equation via combination of two efficient methods
Sign Up to like & getrecommendations! 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
Sign Up to like & getrecommendations! 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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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
Normalized solutions for a coupled Schrödinger system with saturable nonlinearities
Sign Up to like & getrecommendations! 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
Multiple solutions for k-coupled Schrödinger system with variable coefficients
Sign Up to like & getrecommendations! Published in 2019 at "ScienceAsia"
DOI: 10.2306/scienceasia1513-1874.2019.45.279
Abstract: where i is the imaginary unit. It has applications in many physics and nonlinear optics, see Ref. 1. Physically, the solution Φ j denotes the jth component of the beam in Kerr-like photorefractive media, see… read more here.
Keywords: system; references therein; see ref; multiple solutions ... See more keywords
Fundamental Solutions for the Coupled KdV System and Its Stability
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DOI: 10.3390/sym12030429
Abstract: In this paper, we establish exact solutions for the non-linear coupled KdV equations. The exp-function method is used to construct the solitary travelling wave solutions for these equations. The numerical adaptive moving mesh PDEs (MMPDEs)… read more here.
Keywords: kdv system; fundamental solutions; coupled kdv; kdv ... See more keywords
New Analytical Solutions for Coupled Stochastic Korteweg-de Vries Equations via Generalized Derivatives
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DOI: 10.3390/sym14091770
Abstract: In this paper, the coupled nonlinear KdV (CNKdV) equations are solved in a stochastic environment. Hermite transforms, generalized conformable derivative, and an algorithm that merges the white noise instruments and the (G′/G2)-expansion technique are utilized… read more here.
Keywords: stochastic korteweg; generalized derivatives; coupled stochastic; solutions coupled ... See more keywords