Advanced Search

Query:

Fill in the form and click »Search«...

Format:

Display: entries per page entries

Zbl 1142.35569
Hassanien, I. A.; Zait, R. A.; Abdel-Salam, E. A.-B.
Multicnoidal and multitravelling wave solutions for some nonlinear equations of mathematical physics. (English)
[J] Phys. Scr. 67, No. 6, 457-463 (2003). ISSN 0031-8949; ISSN 1402-4896/e

Summary: We extend the Malfliet method of obtaining multisoliton solutions of the Korteweg-de Vries equation to construct several classes of multicnoidal and multitravelling wave solutions for a variety of nonlinear equations of mathematical physics. We illustrate the procedures for single nonlinear equations as well as for coupled nonlinear systems. Several classes of multicnoidal wave solutions are obtained for the model equations considered. Also, multitravelling wave solutions are constructed as reduced cases from the constructed multicnoidal wave solutions. Finally, we conclude the paper and give some features and comments.

MSC 2000:: *35Q53 KdV-like equations
35Q51 Solitons

Comment on this Item PDF MathML XML ASCII DVI PS BibTeX Online Ordering Article Journal

	Scientific prize winners of the ICM 2010
	Overhang
	Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

Advanced Search

Zentralblatt MATH Berlin [Germany]