Extended Mixed Function Method and Its Application for Solving Two Classic Toda Lattice Equations
The mixed function method is extended from the (1+1)-dimensional space to the (2+1)-dimensional one, even those forms of exact solution do not exist in (1+1)-dimensional NDDEs. By using this extended method, the Toda lattice and (2+1)-dimensional Toda lattice equations are studied. Some new solution...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2011-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2011/293607 |
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| Summary: | The mixed function method is extended from the (1+1)-dimensional space
to the (2+1)-dimensional one, even those forms of exact solution do not exist in (1+1)-dimensional NDDEs. By using this extended method, the Toda lattice and (2+1)-dimensional
Toda lattice equations are studied. Some new solutions such as discrete solitary wave solutions,
discrete kink and antikink wave solutions, and discrete breather soliton solutions are
obtained, and their dynamic properties are discussed. |
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| ISSN: | 1026-0226 1607-887X |