New interaction solutions and nonlocal symmetries for the (2 + 1)-dimensional coupled 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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The (2+1)-dimensional higher-order Broer-Kaup (HBK) system is studied by nonlocal symmetry method and consistent tanh expansion (CTE) method in this paper. Some exact interaction solutions among different nonlinear excitations such as solitons, rational waves, periodic waves and corresponding images are explicitly given. PACS numbers: 02.30.Jr, 11.10.Lm, 02.20.-a, 04.20.Jb
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The conditions for a generalized Burgers equation which a priori involves nine arbitrary functions of one, or two variables to allow an infinite dimensional symmetry algebra are determined. Though this algebra can involve up to two arbitrary functions of time, it does not allow a Virasoro algebra. This result confirms that variable coefficient generalizations of a non-integrable equation should...
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By Gennady A. El†, Anatoly M. Kamchatnov‡, Maxim V. Pavlov z and Sergey A. Zykov § † Department of Mathematical Sciences, Loughborough University, Loughborough, UK ‡Institute of Spectroscopy, Russian Academy of Sciences, Troitsk, Moscow Region, Russia z Lebedev Physical Institute, Russian Academy of Sciences, Moscow § SISSA, Trieste, Italy, and Institute of Metal Physics, Urals Division of Russ...
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ژورنال
عنوان ژورنال: Arab Journal of Basic and Applied Sciences
سال: 2018
ISSN: 2576-5299
DOI: 10.1080/25765299.2018.1449417