کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
758045 1462613 2016 9 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Nonlinear self-adjointness of a class of third order nonlinear dispersive equations
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی مکانیک
پیش نمایش صفحه اول مقاله
Nonlinear self-adjointness of a class of third order nonlinear dispersive equations
چکیده انگلیسی


• A nonlinear self-adjoint classification with differential substitutions of a general class of third order evolution equations is carried out.
• Several sub-families of nonlinearly self-adjoint equations are obtained, some of them admitting differential substitutions.
• Conservation laws are established via differential substitutions.

In this paper we carry out a nonlinear self-adjoint classification with differential substitutions of a class of dispersive equations with three arbitrary functions. As a particular case, we obtain the sub families of the C1(m,a+b)C1(m,a+b) equations which are nonlinearly self-adjoint. Conservation laws for these last families are established using the techniques for finding conserved vectors proposed by Ibragimov.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Communications in Nonlinear Science and Numerical Simulation - Volume 32, March 2016, Pages 225–233
نویسندگان
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