New infinite sequence exact solutions to the general lattice

作者：Taogetusang^*

来源：Acta Physica Sinica, 2010, 59(10): 6712-6718.

• nonlinear difference-differential equation
• function transformation
• auxiliary equation of hyperbolic function type
• infinite sequence exact solution

To seek infinite sequence exact solutions to nonlinear difference-differential equations, a kind of auxiliary equation of hyperbolic function type is intruduced, and the Backlund transformation of the solutions to the equation and the formula of nonlinear supperposition of solutions are presented. Based on these and combing auxiliary equation with function transformation, the general lattice equation is chosen as example for which the infinite sequence exact solutionsto the equation are obtained.

• 出版日期2010-10
• 单位内蒙古师范大学