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...
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...
关键词:SchrOdinger-KdV方程;动力系统理论;光滑孤立波;光滑周期波 中图分类号:O175.2 文献标志码:A 文章编号:1673—808X(2013)06—0497—05 ThetravelingwavesolutionofcoupledSchr6dinger-KdVequation FuHualiang,SunShuqin,TangShengqiang (SchoolofMathematicsandComputationalScience,GuilinUniversityofElectronicTechnology,Gu...
Well-posedness of the Cauchy problem for the fractional power dissipative equation in critical Besov spaces Well-posedness of the Cauchy problem for the fractional power dissipative equations[J].Nonlinear Analysis:Theory Methods & Application,2008,(03):461-484... W Gang,Y Jia - 《Journal of Math...
1) KdV-Schrodinger Equation KdV-Schrodinger方程2) Schrodinger-KdV equations Schrodinger-KdV方程 1. This paper is devoted to the study of the Cauchy problem for the coupled system of the Schrodinger-KdV equations which describes the nonlinear dynamics of the one-dimensional Langmuir and ion-...
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...
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 ...
S. M. and Nazar, R., (2009), Comparison between the Homotopy analysis method and Homotopy perturbation method to solve coupled Schrodinger-KdV equation, J. Appl. Math. Comput.,31: 1-12.Alomari, A. K., Noorani, M. S. M. and Nazar, R., Comparison between the Homotopy analysis ...
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 ...