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Application of symbolic computation in nonlinear differential-difference equations - MaRDI portal

Application of symbolic computation in nonlinear differential-difference equations (Q1040099)

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scientific article; zbMATH DE number 5637341
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Application of symbolic computation in nonlinear differential-difference equations
scientific article; zbMATH DE number 5637341

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    Application of symbolic computation in nonlinear differential-difference equations (English)
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    23 November 2009
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    Summary: A method is proposed to construct closed-form solutions of nonlinear differential-difference equations. This method only deals with such equations which are polynomials in the unknown solution and its derivative. Some closed-form solutions of hybrid lattice, discrete mKdV lattice, and modified Volterra lattice equations are obtained by using the proposed method. Travelling wave solutions of nonlinear differential-difference equations which are polynomials in tanh are included in these solutions.
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    closed-form solutions
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