A new variable-coefficient Riccati subequation method for solving nonlinear lattice equations (Q370229)
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scientific article; zbMATH DE number 6209453
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A new variable-coefficient Riccati subequation method for solving nonlinear lattice equations |
scientific article; zbMATH DE number 6209453 |
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A new variable-coefficient Riccati subequation method for solving nonlinear lattice equations (English)
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19 September 2013
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Summary: We propose a new variable-coefficient Riccati subequation method to establish new exact solutions for nonlinear differential-difference equations. For illustrating the validity of this method, we apply it to the discrete \((2 + 1)\)-dimensional Toda lattice equation. As a result, some new and generalized traveling wave solutions including hyperbolic function solutions, trigonometric function solutions, and rational function solutions are obtained.
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variable-coefficient Riccati subequation method
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nonlinear differential-difference equations
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discrete \((2 + 1)\)-dimensional Toda lattice equation
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traveling wave solutions
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hyperbolic function solutions
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trigonometric function solutions
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rational function solutions
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