Keywords:SchrOdinger-KdVequation;bifurcationtheoryofdynamicalsystem;smoothsolitarywavesolution;periodic wavesolution 耦合Schr6dinger-KdV方程 ’ ～ 一十～ (1) 【 +6伽+一一(1“l) 是描述非线性耗散介质中长波和短波之间相互作用 的重要模型,在等离子体物理中有着广泛的应用,如 ...
Schr dinger-KdV方程动力系统理论光滑孤立波光滑周期波Schr dinger-KdV equationbifurcation theory of dynamical systemsmooth solitary wave solutionperiodic wave solution为了得到Schrodinger-KdV方程的行波解,运用平面动力系统理论方法,对其动力学行为进行研究,证明了该方程光滑孤立波解和光滑周期波解的存在性,并在不同的...
To verify its computational potentiality, the coupled Schrodinger-KdV equation is considered. The obtained solutions in this work reveal that the method is a very effective and easily applicable of formulating the scattered exact traveling wave solutions of many nonlinear coupled wave equations. It is...
Efficient schemes for the coupled Schrodinger-KdV equations: Decoupled and conserving three invariantsSchrodinger-KdV equationDecoupled schemeHamiltonian systemDiscrete gradient methodStructure-preserving algorithmWe give a systematic method for discretizing Hamiltonian partial differential equations. An application of...
本文研究了耦合Schrodinger-KdV方程组的Cauchy问题,此耦合方程组刻化了一维Langmuir和离子声波相互作用的非线性动力学行为。3) KdV-Schrodinger Equation KdV-Schrodinger方程4) coupled KdV equation 耦合KdV方程 1. By using the singularity analysis approach to the coupled KdV equation,we study the Painlevé pr...
KdV equationBethe ansatz equationtopological Yang-Mills-Higgs theorydualityIn this paper, we discuss the relation between the (1+1)D nonlinear Schrodinger equation and the KdV equation. By applying the boson/vortex duality, we can map the classical nonlinear Schrodinger equation into the classical ...
Comparison between the homotopy analysis method and homotopy perturbation method to solve coupled Schrodinger-KdV equation. J Appl Math Comput 2009;31(1-2):1-12.Alomari, A. K., Noorani, M. S. M., Nazar, R.,(2009), Comparison between the homotopy analysis method and homotopy paerturbation...
Petrov-Galerkin Method for the Coupled Schrodinger-KdV Equationdoi:10.1155/2014/705204Mohammad Said IsmailFarida M MosallyKhadeejah M AlamoudiHindawi
A successful implementation of the proposed improved auxiliary equation technique collects enormous wave solutions in the form of exponential, rational, trigonometric and hyperbolic functions. The found solutions involving many free parameters under consideration of particular values are figured out which ...
Mathematics Stability of solitary waves for some Schrodinger--KdV systems THE UNIVERSITY OF OKLAHOMA John P. Albert BhattaraiSantoshThis dissertation addresses existence and stability results for a two-parameter family of solitary-wave solutions to systems in which an equation of nonlinear Schr枚dinger ...