کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
758479 | 896436 | 2013 | 12 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Exact solutions of the simplified Keller–Segel model
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
سایر رشته های مهندسی
مهندسی مکانیک
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Exact solutions of the simplified Keller–Segel model Exact solutions of the simplified Keller–Segel model](/preview/png/758479.png)
چکیده انگلیسی
• Maximal algebra of invariance of a simplified Keller-Segel system is found.
• The algorithms for constructing traveling wave and self-similar solutions of this system are presented.
• Exact solutions in explicit forms are found and their properties examined.
• Applicability of the solutions obtained for chemotaxis modeling is discussed.
Lie symmetries of a simplified Keller–Segel system are found and applied for construction of exact solutions. The algorithms for constructing all possible traveling wave and self-similar solutions of the system in question are presented. Several families of such solutions in an explicit form are found, their properties examined and possible applicability for chemotaxis modeling is discussed.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Communications in Nonlinear Science and Numerical Simulation - Volume 18, Issue 11, November 2013, Pages 2960–2971
Journal: Communications in Nonlinear Science and Numerical Simulation - Volume 18, Issue 11, November 2013, Pages 2960–2971
نویسندگان
Roman Cherniha, Maksym Didovych,