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An Algebraic Method for Solving the KdV . Two-parameter Solution Family

✍ Scribed by Pan Zu-liang; Zheng Ke-jie; Zhao Shen-qi

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
174 KB
Volume
9
Category
Article
ISSN
0960-0779

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✦ Synopsis

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 solve a system of indeterminate eqns\ i[e[\ a set of nonlinear algebraic eqns[ It is also noted that this method can be generalized to the cases of multiple!parameter solution family[ Þ 0887 Elsevier Science Ltd[ All rights reserved

πŸ“œ SIMILAR VOLUMES

An Algebraic Method for Solving the KdV
An Algebraic Method for Solving the KdV Equation (II). Three-parameter and Four-parameter Solution Family
✍ Pan Zu-liang; Zhao Shen-qi; Zheng Ke-jie πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 230 KB

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