On explicit exact solutions to the compound Burgers-KdV equation. (English) Zbl 0984.35138
Summary: Applying the theory of commutative algebra, we propose a new approach which is currently called the first integral method to study the compound Burgers-KdV equation and Burgers-KdV equation. The results indicate that the solutions obtained in the previous literature contain errors.
MSC:
| 35Q53 | KdV equations (Korteweg-de Vries equations) |
| 37K20 | Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions |
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