Variational Principles for Some Nonlinear Wave Equations Zhao-Ling Tao

c International Institute for Symmetry Analysis and Mathematical Modelling, Department of Mathematical Sciences, North-West University, Mafikeng Campus, Private Bag X 2046,

Recently, the variational iteration method (VIM), introduced by He (see [1, 2] and references therein), which gives rapidly convergent successive approximations of the exact solution

(4) Nieto and his colleagues established variational prin- ciples for various impulsive problems [1 – 3]; in this paper we suggest an alternative approach to the estab- lishment of

In the current work we present an idea for accelerating the convergence of the resulted sequence to the solution of the problem by choosing a suitable initial term. The efficiency of

The proposed modification is made by introducing He’s polynomials in the correction functional of the variational iteration method (VIM). The use of La- grange multiplier coupled

The results show that the method provides a straightforward and powerful mathematical tool for solving various nonlinear integro-differential equations. Key words: He’s

The discretized modified Korteweg- de Vries (mKdV) lattice equation and the discretized nonlinear Schr¨odinger equation are taken as examples to illustrate the validity and the

64a, 568 – 574 (2009); received September 22, 2008 / revised December 2, 2008 In this paper, an iterative numerical solution of the higher-dimensional (3+1) physically