Symmetry, reductions and exact solutions of the \((2+1)\)-dimension Caudrey-Dodd-Gibbon equation. (Chinese. English summary) Zbl 1340.37080
Summary: Using the classical Lie group method, we find the classical symmetry and reductions of \((2+1)\)-dimensional Caudrey-Dodd-Gibbon equation. At the same time, a large number of solutions are derived by solving the reduction equations, which include the solutions of rational functions, hyperbolic functions, trigonometric functions and Jacobi elliptic functions.
MSC:
| 37K10 | Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) |
