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One generalization of the KdV and sin-Gordon differential equations

โœ Scribed by I. V. Cherednik

Book ID
105060848
Publisher
Springer US
Year
1979
Tongue
English
Weight
164 KB
Volume
13
Category
Article
ISSN
0016-2663

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๐Ÿ“œ SIMILAR VOLUMES

On the long time behaviour of a generali
On the long time behaviour of a generalized KdV equation
โœ A. Sidi; C. Sulem; P. L. Sulem ๐Ÿ“‚ Article ๐Ÿ“… 1986 ๐Ÿ› Springer Netherlands ๐ŸŒ English โš– 495 KB

We consider the Cauchy problem for the generalized Korteweg-de Vries equation ## ~,u + O~(-O~)~u + a~( u----A ) = O where ~ is a positive real and it an integer larger than 1. We obtain the detailed large distance behaviour of the fundamental solution of the linear problem and show that for ot/>1

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โœ Abdul-Majid Wazwaz ๐Ÿ“‚ Article ๐Ÿ“… 2008 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 145 KB

In this work we introduce new schemes, each combines two hyperbolic functions, to study the KdV, mKdV, and the generalized KdV equations. It is shown that this class of equations gives conventional solitons and periodic solutions. We also show that the proposed schemes develop sets of entirely new s