Perturbational Blowup Solutions to the Two-Component Dullin-Gottwald-Holm System
نویسندگان
چکیده
منابع مشابه
The Dullin-Gottwald-Holm Equation: Classical Lie Approach and Exact Solutions
The Lie-group formalism is applied to investigate the symmetries of the Dullin-Gottwald-Holm equation φt −αφxxt +2wφx +3φφx + γφxxx = α(2φxφxx +φφxxx), which describes the unidirectional propagation of two dimensional waves in shallow water over a flat bottom. We derived the infinitesimals that admit the classical symmetry group. The reduced ordinary differential equation is further studied and...
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BACKGROUND The N-dimensional isentropic compressible Euler system with a damping term is one of the most fundamental equations in fluid dynamics. Since it does not have a general solution in a closed form for arbitrary well-posed initial value problems. Constructing exact solutions to the system is a useful way to obtain important information on the properties of its solutions. METHOD In this...
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The Camassa-Holm (CH) equation is a well-known integrable equation describing the velocity dynamics of shallow water waves. This equation exhibits spontaneous emergence of singular solutions (peakons) from smooth initial conditions. The CH equation has been recently extended to a two-component integrable system (CH2), which includes both velocity and density variables in the dynamics. Although ...
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ژورنال
عنوان ژورنال: The Scientific World Journal
سال: 2016
ISSN: 2356-6140,1537-744X
DOI: 10.1155/2016/5632798