کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
5774195 | 1413549 | 2017 | 81 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Quasi-periodic solutions for quasi-linear generalized KdV equations
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Quasi-periodic solutions for quasi-linear generalized KdV equations Quasi-periodic solutions for quasi-linear generalized KdV equations](/preview/png/5774195.png)
چکیده انگلیسی
We prove the existence of Cantor families of small amplitude, linearly stable, quasi-periodic solutions of quasi-linear autonomous Hamiltonian generalized KdV equations. We consider the most general quasi-linear quadratic nonlinearity. The proof is based on an iterative Nash-Moser algorithm. To initialize this scheme, we need to perform a bifurcation analysis taking into account the strongly perturbative effects of the nonlinearity near the origin. In particular, we implement a weak version of the Birkhoff normal form method. The inversion of the linearized operators at each step of the iteration is achieved by pseudo-differential techniques, linear Birkhoff normal form algorithms and a linear KAM reducibility scheme.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Differential Equations - Volume 262, Issue 10, 15 May 2017, Pages 5052-5132
Journal: Journal of Differential Equations - Volume 262, Issue 10, 15 May 2017, Pages 5052-5132
نویسندگان
Filippo Giuliani,