کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1258312 1496518 2016 8 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Self-similar solutions for some nonlinear evolution equations: KdV, mKdV and Burgers equations
موضوعات مرتبط
مهندسی و علوم پایه شیمی شیمی (عمومی)
پیش نمایش صفحه اول مقاله
Self-similar solutions for some nonlinear evolution equations: KdV, mKdV and Burgers equations
چکیده انگلیسی

A method for solving three types of nonlinear evolution equations namely KdV, modified KdV and Burgers equations, with self-similar solutions is presented. The method employs ideas from symmetry reduction to space and time variables and similarity reductions for nonlinear evolution equations are performed. The obtained self-similar solutions of KdV and mKdV equations are related to Bessel and Airy functions whereas those of Burgers equation are related to the error and Hermite functions. These solutions appear as new types of solitary, shock and periodic waves. Also, the method can be applied to other nonlinear evolution equations in mathematical physics.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of the Association of Arab Universities for Basic and Applied Sciences - Volume 19, February 2016, Pages 44–51
نویسندگان
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