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Solutions for non-isospectral variable coefficient KdV equation

โœ Scribed by Xiao-ying Zhu; Da-jun Zhang; Deng-yuan Chen

Book ID
107482826
Publisher
Chinese Electronic Periodical Services
Year
2010
Tongue
English
Weight
199 KB
Volume
14
Category
Article
ISSN
1007-6417

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๐Ÿ“œ SIMILAR VOLUMES

Solitary wave solutions for a generalize
Solitary wave solutions for a generalized KdVโ€“mKdV equation with variable coefficients
โœ Houria Triki; Thiab R. Taha; Abdul-Majid Wazwaz ๐Ÿ“‚ Article ๐Ÿ“… 2010 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 126 KB

In this work, a generalized time-dependent variable coefficients combined KdV-mKdV (Gardner) equation arising in plasma physics and ocean dynamics is studied. By means of three amplitude ansatz that possess modified forms to those proposed by Wazwaz in 2007, we have obtained the bell type solitary w

New exact solutions for a generalized va
New exact solutions for a generalized variable coefficients 2D KdV equation
โœ S.A. Elwakil; S.K. El-labany; M.A. Zahran; R. Sabry ๐Ÿ“‚ Article ๐Ÿ“… 2004 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 92 KB

Using homogeneous balance method an auto-Bโ‚ฌ a acklund transformation for a generalized variable coefficients 2D KdV equation is obtained. Then new exact solutions are found which include solitary one. Also, we have found certain new analytical soliton-typed solution in terms of the variable coeffici