For citation:
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
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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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