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A variational iterative method for solving the linear and nonlinear Klein-Gordon equations
Variational iterative method Linear and Nonlinear Klein-Gordon equations
2010/9/26
In this article, variational iterative method (VIM) is presented as an alternative method for solving the linear and nonlinear Klein Gordon equations. The method is demonstrated by several physical mo...
An Inequality of the1-D Klein-Gordon Equation with a Time-varying Parameter
Partial differential equation Klein-Gordon Inequality Controllability
2008/7/2
In this paper we present an inequality concerning the regularity of the solution of the Klein-Gordon equation with a time-varying parameter. In particular, we present an inequality comparing the norm ...
本文对非线性Klein－Gordon(NKG)方程的初边值问题提出了一种新的差分格式,它保持了NKG方程初边值问题的能量守恒,证明了该格式的收敛性和稳定性．特别地，由于该格式是完全隐式的,故对求长时解有着重要的作用,数值计算结果表明该方法计算速度快,精度好.
ORBITAL STABILITY OF SOLITARY WAVES FOR THE KLEIN-GORDON-ZAKHAROV EQUATIONS
Solitary wave stability Klei
2007/12/10
This paper concerns the orbital stability of solitary waves of the Klein- Gordon- Zakharov equations. By applying the abstract results of [1, 2] and detailed spectral analysis, we obtain the stability...
用动力系统方法研究Klein-Grodon-Schrödinger方程的孤立波和周期行波解.给出了解存在的明显参数条件和孤立波与周期行波解的表达式,并进一步考虑了行波方程可能的分支问题和Hamilton情况.