求解变系数KdV方程的两种方法的研究 ResearchAboutTwOMethodstoObtainSolutionsof Variable--Coefficient Korteweg・・de Vries Equations(vcKdV) ABSTRACT Inrecent years,as all important branchofthenonlinearscience soliton theory was developedrapidly and
北京邮电大学硕士学位论文变系数Korteweg-deVries(KdV)方程和变系数Kadomtsev-Petviashvili(KP)方程的求解方法研究姓名:***请学位级别:硕士专业:应用数学指导..
KORTEWEG–DE VRIES EQUATION: A COMPLETELY INTEGRABLE HAMILTONIAN SYSTEM: Selected Works of Ludwig FaddeevThe Korteweg–de Vries equation (KdV) arose long ago in an approximate theory of hydrodynamic waves,$u_t - 6uu_x + u_{xxx} = 0;\\\,\\\,\\\,\\\,\\\,\\\,\\\,u\\\left( {x...
(Tabor 1989, p. 291). The Korteweg-de Vries equation also exhibits Galilean invariance. An important step in the solution of the KdV equation was provided by Gardneret al.(1967), who proposed that it could be studied through the properties of the one-dimensional Schrödinger equation for po...
A Meshfree Method for Korteweg-de Vries (KdV) Equation by A New Multiquadric Quasi-interpolation KDV方程可用于描述量子力学,非线性光学,江河等领域中的非均匀传输介质孤立子的传播,是最典型的非线性色散波动方程的代表.以5阶变系数KDV方程为研究对象,首先结合齐次... Hualin Xiao,Dan Qu - IAENG International...
modified Korteweg-de Vries方程 1. In this dissertation, we study the initial-boundary-value problem of modified Korteweg-de Vries equation and use the tool of harmonic analysis to study the Cauchy problem of Davey-Stewarson equation. 本文研究了modified Korteweg-de Vries方程初边值问题并用调和分析...
Glossary Definition of the Subject Introduction Some Numerical Methods for Solving the Korteweg–de Vries (KdV) Equation The Adomian Decomposition Method (ADM) The Homotopy Analysis Method (HAM) The Variational Iteration Method (VIM) The Homotopy Perturbation Method (HPM) Numerical Applications and ...
A Meshfree Method for Korteweg-de Vries (KdV) Equation by A New Multiquadric Quasi-interpolation IAENG International Journal of Applied MathematicsHualin XiaoDan Qu
In this article, a numerical scheme is implemented to approximate the solution of time fractional stochastic Korteweg-de Vries (KdV) equation. The structure of the proposed method is such that it first employ finite difference technique to transform the time fractional stochastic KdV equation into ...
modified Korteweg-de Vries方程 1. In this dissertation, we study the initial-boundary-value problem of modified Korteweg-de Vries equation and use the tool of harmonic analysis to study the Cauchy problem of Davey-Stewarson equation. 本文研究了modified Korteweg-de Vries方程初边值问题并用调和分析...