| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 10416747 | Journal of Applied Mathematics and Mechanics | 2005 | 8 Pages |
Abstract
In algorithm for binding the first integrals of fourth-order non-linear differential equations, encountered when describing non-linearwave processes, is process, is proposed. The use of the method is illustrated by a number of examples. The first integrals obtained are employed to construct a solution of the generalized fifth-order Korteweg-de Vries equation in travelling-wave variables, which is expressed in terms of hyperelliptic integrals.
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Mechanical Engineering
Authors
N.A. Kudryashov,