An Expanded G/G-expansion Method for Nonlinear Lattice Equations
Lattice models are associated with rather important problems in physics. Solution of these models gives insights into the nature of phase transitions, magnetization and scaling behavior, as well as insights into the nature of quantum field theory. An expanded G/G-expansion method is presented to seek explicit solutions of nonlinear lattice equations. The key steps of the expanded method is illustrated. With the aid of symbolic computation, the general mKdV lattice equation is chosen to show the validity and advantages of the method. As a result, hyperbolic function solutions and trigonometric function solutions with parameters are obtained. The proposed algorithm can be used for many other nonlinear lattice equations in mathematical physics.
nonlinear lattice equation expanded G/G-expansion method traveling wave solution hyperbolic function solution trigonometric function solution
Xinghua Fan Shouxiang Yang Jiuli Yin Lixin Tian
Nonlinear Scientific Research Center Faculty of Science, Jiangsu University 301 Xuefu Road, Zhenjiang 212013, Jiangsu, China
国际会议
太原
英文
190-194
2010-10-22（万方平台首次上网日期，不代表论文的发表时间）