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To seek infinite sequence exact solutions to nonlinear difference-differential equations, a kind of auxiliary equation of hyperbolic function type is intruduced, and the Bä,cklund 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.
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Keywords:
- nonlinear difference-differential equation/
- function transformation/
- auxiliary equation of hyperbolic function type/
- infinite sequence exact solution
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