ISSN 0869-6632 (Print)
ISSN 2542-1905 (Online)


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Katson V. M. Solitary waves of two-dimensional modified Kawahara equation. Izvestiya VUZ. Applied Nonlinear Dynamics, 2008, vol. 16, iss. 6, pp. 76-85. DOI: 10.18500/0869-6632-2008-16-6-76-85

This is an open access article distributed under the terms of Creative Commons Attribution 4.0 International License (CC-BY 4.0).
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Russian
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Article
UDC: 
532.5

Solitary waves of two-dimensional modified Kawahara equation

Autors: 
Katson Vladimir Markovich, Saratov State University
Abstract: 

Equations of this type describe a number of real-life processes like wave motion under ice mantle or propagation of waves of longitudinal deformation in thin cylinder shell. Using «Simplest Equation Method» exact solitary-wave solutions of the two-dimensional Kawahara Equation were obtained. On the basis of implicit pseudospectral method the numerical investigation is carried out. Regimes of two-dimensional deformation waves with classic solitary behavior were discovered.

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Reference: 
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Received: 
04.05.2008
Accepted: 
19.06.2008
Published: 
27.02.2009
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