کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
766893 897131 2013 16 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Algebraic operator method for the construction of solitary solutions to nonlinear differential equations
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی مکانیک
پیش نمایش صفحه اول مقاله
Algebraic operator method for the construction of solitary solutions to nonlinear differential equations
چکیده انگلیسی

Solutions of the KdV equation are derived by the algebraic operator method based on generalized operators of differentiation. The algebraic operator method based on the generalized operator of differentiation is exploited for the derivation of analytic solutions to the KdV equation. The structure of solitary solutions and explicit conditions of existence of these solutions in the subspace of initial conditions are derived. It is shown that special solitary solutions exist only on a line in the parameter plane of initial and boundary conditions. This new theoretical result may lead to important findings in a variety of practical applications.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Communications in Nonlinear Science and Numerical Simulation - Volume 18, Issue 6, June 2013, Pages 1374–1389
نویسندگان
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