کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
759746 896491 2011 4 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Comment on the 3+1 dimensional Kadomtsev–Petviashvili equations
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی مکانیک
پیش نمایش صفحه اول مقاله
Comment on the 3+1 dimensional Kadomtsev–Petviashvili equations
چکیده انگلیسی

We comment on traveling wave solutions and rational solutions to the 3+1 dimensional Kadomtsev–Petviashvili (KP) equations: (ut + 6uux + uxxx)x ± 3uyy ± 3uzz = 0. We also show that both of the 3+1 dimensional KP equations do not possess the three-soliton solution. This suggests that none of the 3+1 dimensional KP equations should be integrable, and partially explains why they do not pass the Painlevé test. As by-products, the one-soliton and two-soliton solutions and four classes of specific three-soliton solutions are explicitly presented.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Communications in Nonlinear Science and Numerical Simulation - Volume 16, Issue 7, July 2011, Pages 2663–2666
نویسندگان
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