A New Variable-Coefficient Riccati Subequation Method for Solving Nonlinear Lattice Equations
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 generalize...
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| Format: | Article |
| Language: | English |
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Hindawi Limited
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/810363 |
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doaj-37327550a58146b3bfb207a3cc6780b32020-11-24T23:54:16ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/810363810363A New Variable-Coefficient Riccati Subequation Method for Solving Nonlinear Lattice EquationsFanwei Meng0School of Mathematical Sciences, Qufu Normal University, Qufu 273165, ChinaWe 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.http://dx.doi.org/10.1155/2013/810363 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Fanwei Meng |
| spellingShingle |
Fanwei Meng A New Variable-Coefficient Riccati Subequation Method for Solving Nonlinear Lattice Equations Abstract and Applied Analysis |
| author_facet |
Fanwei Meng |
| author_sort |
Fanwei Meng |
| title |
A New Variable-Coefficient Riccati Subequation Method for Solving Nonlinear Lattice Equations |
| title_short |
A New Variable-Coefficient Riccati Subequation Method for Solving Nonlinear Lattice Equations |
| title_full |
A New Variable-Coefficient Riccati Subequation Method for Solving Nonlinear Lattice Equations |
| title_fullStr |
A New Variable-Coefficient Riccati Subequation Method for Solving Nonlinear Lattice Equations |
| title_full_unstemmed |
A New Variable-Coefficient Riccati Subequation Method for Solving Nonlinear Lattice Equations |
| title_sort |
new variable-coefficient riccati subequation method for solving nonlinear lattice equations |
| publisher |
Hindawi Limited |
| series |
Abstract and Applied Analysis |
| issn |
1085-3375 1687-0409 |
| publishDate |
2013-01-01 |
| description |
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. |
| url |
http://dx.doi.org/10.1155/2013/810363 |
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AT fanweimeng anewvariablecoefficientriccatisubequationmethodforsolvingnonlinearlatticeequations AT fanweimeng newvariablecoefficientriccatisubequationmethodforsolvingnonlinearlatticeequations |
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