Averaging Principle for Multiscale Stochastic Fractional Schrödinger–Korteweg-de Vries System
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DOI: 10.1007/s10955-020-02645-6
Abstract: This work concerns the averaging principle for multiscale stochastic fractional Schrodinger–Korteweg-de Vries system. Stochastic averaging principle is a powerful tool for studying qualitative analysis of stochastic dynamical systems with different time-scales. To be more precise,… read more here.
Keywords: principle multiscale; system; averaging principle; korteweg vries ... See more keywords
A modified approach for a reliable study of new nonlinear equation: two-mode Korteweg–de Vries–Burgers equation
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DOI: 10.1007/s11071-017-3968-1
Abstract: In this paper, we establish a new nonlinear equation which is called the two-mode Korteweg–de Vries–Burgers equation (TMKdV–BE). The new equation describes the propagation of two different wave modes simultaneously. First, we introduce a new… read more here.
Keywords: new nonlinear; mode korteweg; two mode; nonlinear equation ... See more keywords
Analysis of a Chebyshev-type spectral method for the Korteweg-de Vries equation in the real line
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DOI: 10.1007/s13370-018-0635-8
Abstract: Many problems in science and engineering involve nonlinear PDEs which are posed on the real line ($${\mathbb {R}}$$R). Particular examples include a number of important nonlinear wave equations. A rigorous numerical analysis of such problems… read more here.
Keywords: chebyshev type; spectral method; vries equation; korteweg vries ... See more keywords
General lump solutions, lumpoff solutions, and rogue wave solutions with predictability for the (2+1)-dimensional Korteweg-de Vries equation
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DOI: 10.1007/s40314-019-0938-x
Abstract: In this work, the (2+1)-dimensional Korteweg-de Vries equation is investigated, which can be used to represent the amplitude of the shallow–water waves in fluids or electrostatic wave potential in plasmas. By employing the properties of… read more here.
Keywords: lumpoff solutions; dimensional korteweg; korteweg vries; vries equation ... See more keywords
Interactions between exotic multi-valued solitons of the (2+1)-dimensional Korteweg-de Vries equation describing shallow water wave
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DOI: 10.1016/j.apm.2019.11.056
Abstract: Abstract Korteweg-de Vries equation governs the weakly nonlinear long wave whose phase speed reaches a simple maximum of wave with the infinite length in shallow water wave. The exponential-form variable separation solution of (2+1)-dimensional Kortweg-de… read more here.
Keywords: korteweg vries; vries equation; multi valued; valued solitons ... See more keywords
Symmetry reductions, group-invariant solutions and conservation laws of a three-coupled Korteweg-de Vries system
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DOI: 10.1016/j.cjph.2019.06.004
Abstract: Abstract The Korteweg-de Vries (KdV)-type equations appear during the studies on the cosmic plasmas, planetary atmospheres and oceans. In this paper, via the Lie symmetry method, we investigate a three-coupled KdV system. Lie point symmetry… read more here.
Keywords: system; korteweg vries; three coupled; symmetry ... See more keywords
Breather solutions and breather-to-soliton conversions for the (2+1)-dimensional complex modified Korteweg-de Vries and Maxwell-Bloch equations
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DOI: 10.1016/j.ijleo.2020.164334
Abstract: Abstract In this paper, we will focus on the (2+1)-dimensional complex modified Korteweg-de Vries and Maxwell-Bloch (cmKdVMB) equations. According to the correlative Lax pair, the N-fold Darboux Transformations(DT) will be constructed. By virtue of the… read more here.
Keywords: modified korteweg; dimensional complex; complex modified; vries maxwell ... See more keywords
Soliton solutions of (3 + 1)-dimensional Korteweg-de Vries Benjamin–Bona–Mahony, Kadomtsev–Petviashvili Benjamin–Bona–Mahony and modified Korteweg de Vries–Zakharov–Kuznetsov equations and their applications in water waves
Sign Up to like & getrecommendations! Published in 2019 at "Journal of King Saud University - Science"
DOI: 10.1016/j.jksus.2017.02.004
Abstract: Abstract In this article, the analytical solution of (3 + 1)-dimensional Korteweg-de Vries Benjamin–Bona–Mahony equation, Kadomtsev–Petviashvili Benjamin–Bona–Mahony equation and modified Korteweg-de Vries–Zakharov–Kuznetsov equation have been extracted. These results hold numerous traveling wave solutions that are of key… read more here.
Keywords: bona mahony; benjamin bona; korteweg vries; vries benjamin ... See more keywords
Inverse scattering transform for the coupled modified Korteweg-de Vries equation with nonzero boundary conditions
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DOI: 10.1016/j.jmaa.2021.125567
Abstract: Abstract In this paper, we study the inverse scattering transform for the coupled modified Korteweg-de Vries (cmKdV) equation with nonzero boundary conditions (NZBCs) at infinity. In order to deal with the direct and inverse scattering… read more here.
Keywords: coupled modified; modified korteweg; korteweg vries; scattering transform ... See more keywords
The non-commutative Korteweg–de Vries hierarchy and combinatorial Pöppe algebra
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DOI: 10.1016/j.physd.2022.133228
Abstract: We give a constructive proof, to all orders, that each member of the noncommutative potential Korteweg–de Vries hierarchy is a Fredholm Grassmannian flow and is therefore linearisable. Indeed we prove this for any linear combination… read more here.
Keywords: vries hierarchy; algebra; korteweg; non commutative ... See more keywords
Travelling wave solutions and conservation laws for the Korteweg-de Vries-Bejamin-Bona-Mahony equation
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DOI: 10.1016/j.rinp.2017.10.041
Abstract: Abstract In this work we study the Korteweg-de Vries-Benjamin-Bona-Mahony (KdV-BBM) equation, which describes the two-way propagation of waves. Using Lie symmetry method together with Jacobi elliptic function expansion and Kudryashov methods we construct its travelling… read more here.
Keywords: bona mahony; travelling wave; korteweg vries; conservation laws ... See more keywords