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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Wiley
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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| _version_ | 1832552763504984064 |
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| author | Fanwei Meng |
| author_facet | Fanwei Meng |
| author_sort | Fanwei Meng |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-37327550a58146b3bfb207a3cc6780b3 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-37327550a58146b3bfb207a3cc6780b32025-02-03T05:57:47ZengWileyAbstract 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 |
| spellingShingle | Fanwei Meng A New Variable-Coefficient Riccati Subequation Method for Solving Nonlinear Lattice Equations Abstract and Applied Analysis |
| title | 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_short | 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 |
| url | http://dx.doi.org/10.1155/2013/810363 |
| work_keys_str_mv | AT fanweimeng anewvariablecoefficientriccatisubequationmethodforsolvingnonlinearlatticeequations AT fanweimeng newvariablecoefficientriccatisubequationmethodforsolvingnonlinearlatticeequations |