On nonautonomous complex wave solutions described by the coupled Schrödinger–Boussinesq equation with variable-coefficients
Sign Up to like & getrecommendations! Published in 2018 at "Optical and Quantum Electronics"
DOI: 10.1007/s11082-018-1346-y
Abstract: This paper investigates the coupled Schrödinger–Boussinesq equation with variable-coefficients using the unified method. New nonautonomous complex wave solutions are obtained and classified into two categories, namely polynomial function and rational function solutions. For the polynomial… read more here.
Keywords: wave solutions; wave; boussinesq equation; dinger boussinesq ... See more keywords
The genesis of two-hump, W-shaped and M-shaped soliton propagations of the coupled Schrödinger–Boussinesq equations with conformable derivative
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DOI: 10.1007/s11082-021-02956-2
Abstract: This work oversees with the coupled Schrödinger–Boussinesq equations with conformable derivative, which have lots of applications in laser and plasma. The said equations are reduced to a coupled stationary form using complex travelling wave transformation.… read more here.
Keywords: boussinesq equations; equations conformable; conformable derivative; dinger boussinesq ... 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
Existence of constrained minimizer for a quadratically coupled Schrödinger systems
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DOI: 10.1080/00036811.2018.1484908
Abstract: ABSTRACT In this paper, we consider the existence of solutions to a quadratically coupled Schrödinger systems under the condition Here N=1, 2, and a, b>0 are fixed. In the systems, and are unknown. We prove… read more here.
Keywords: quadratically coupled; existence; schr dinger; dinger systems ... See more keywords
Fractional Dynamics and Analysis of Coupled Schrödinger-kdv Equation with Caputo-katugampola Type Memory
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DOI: 10.1115/1.4062391
Abstract: Fundamental purpose of the current research article is to analyze the behaviour of obtained results of time fractional nonlinear coupled Schrödinger-KdV equation,viaimplementing an effective analytical technique. In this work, Katugampola fractional derivative in Caputo type… read more here.
Keywords: coupled schr; dinger kdv; kdv equation; analysis ... See more keywords
Positive solutions for coupled Schrödinger system with critical exponent in RN$\mathbb{R}^{N}$ (N≥5$N\geq5$)
Sign Up to like & getrecommendations! Published in 2017 at "Boundary Value Problems"
DOI: 10.1186/s13661-017-0834-5
Abstract: AbstractIn this paper, we study the following coupled Schrödinger system: {−Δu+u=u2∗−1+βu2∗2−1v2∗2+f(u),x∈RN,−Δv+v=v2∗−1+βu2∗2v2∗2−1+g(v),x∈RN,u,v>0,x∈RN,$$ \textstyle\begin{cases} -\Delta u+u=u^{2^{*}-1}+\beta u^{\frac{2^{*}}{2}-1}v^{\frac {2^{*}}{2}}+f(u), &x\in\mathbb{R}^{N}, \\ -\Delta v+v=v^{2^{*}-1}+\beta u^{\frac{2^{*}}{2}}v^{\frac {2^{*}}{2}-1}+g(v), &x\in\mathbb{R}^{N}, \\ u,v>0, &x\in\mathbb{R}^{N}, \end{cases} $$ where N≥5$N\geq5$ and 2∗=2NN−2$2^{*}=\frac{2N}{N-2}$. Note that the… read more here.
Keywords: dinger system; system; frac; mathbb ... See more keywords
Multiple solutions for k-coupled Schrödinger system with variable coefficients
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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
Analytical Approaches for Approximate Solution of the Time-Fractional Coupled Schrödinger-KdV Equation
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DOI: 10.3390/sym14122602
Abstract: In this article, we use the homotopy perturbation method and the Adomian decomposition method with the Yang transformation to discover analytical solution to the time-fractional coupled Schrödinger–KdV equation. In the Caputo sense, fractional derivatives are… read more here.
Keywords: coupled schr; solution time; time fractional; dinger kdv ... See more keywords