Freezing similarity solutions in the multi-dimensional Burgers equation
نویسندگان
چکیده
منابع مشابه
Decay Mode Solutions to (2 + 1)-Dimensional Burgers Equation, Cylindrical Burgers Equation and Spherical Burgers Equation
Three (2 + 1)-dimensional equations—Burgers equation, cylindrical Burgers equation and spherical Burgers equation, have been reduced to the classical Burgers equation by different transformation of variables respectively. The decay mode solutions of the Burgers equation have been obtained by using the extended G G ′ -expansion method, substituting the solutions obtained into the cor...
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Group theoretic methods are used to construct new exact solutions for the one-dimensional Fokker-Planck equation corresponding to a class of non-linear forcing functions f(.‘cl. An important sub-class, corresponding tof(x) = a/x + /I-Y, a < 1, /? > 0 is shown to lead to stable solutions. A discussion is given on how generalized similarity methods could be applied to higher dimensional systems. ...
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This paper carries out the integration of Burgers equation by the aid of tanh method. This leads to the complex solutions for the Burgers equation, KdV–Burgers equation, coupled Burgers equation and the generalized time-delayed Burgers equation. Finally, the perturbed Burgers equation in (1+1) dimensions is integrated by the ansatz method. 2010 Elsevier Inc. All rights reserved.
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ژورنال
عنوان ژورنال: Nonlinearity
سال: 2017
ISSN: 0951-7715,1361-6544
DOI: 10.1088/1361-6544/aa89d5