An algebraic method for solving the KdV eqn is presented[ Using this method the two!parameter solution family which includes some singular solutions can be obtained[ The well!known two!soliton solutions of the KdV eqn are the special cases of this solution family[ The key step of the method is to so
Algebraic characterization of the KdV family
β Scribed by Roman Kosecki
- Publisher
- Elsevier Science
- Year
- 1994
- Tongue
- English
- Weight
- 160 KB
- Volume
- 4
- Category
- Article
- ISSN
- 0960-0779
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β¦ Synopsis
We show that the KdV family is the only infinite nontrivial family satisfying divergence recurrence formula.
π SIMILAR VOLUMES
The three!parameter and four!parameter solution family of the KdV equation are given[ The comparison of our expressions with the known results which were obtained by means of the inverse scattering transformation "IST# or Backlund transformation is discussed in detail[ We \_nd that the known result
The equivalence of the algebraic closure of a system of separating recognition algorithms and a set of polynomial decision rules in a natural rectifying space is established. The conditions for the correctness of the algebraic closure are found. The linear closure of a family of linear separating a