Zobrazeno 1 - 10
of 39 049
pro vyhledávání: '"Korteweg-de Vries equation"'
Autor:
Khalique, Chaudry Masood1,2 Masood.Khalique@nwu.ac.za, Adeyemo, Oke Davies1, Monashane, Mbeki Shorn1
Publikováno v:
Advanced Mathematical Models & Applications. 2024, Vol. 9 Issue 2, p147-172. 26p.
Autor:
McConnell, Ryan, Oh, Seungly
We utilize a modulation restricted normal form approach to establish local well-posedness of the periodic Korteweg-de Vries equation in $H^s(\mathbb{T})$ for $s> -\frac23$. This work creates an analogue of the mKdV result by Nakanishi, Takaoka, and T
Externí odkaz:
http://arxiv.org/abs/2411.15069
We consider the Cauchy problem for the generalized fractional Korteweg-de Vries equation $$ u_t+D^\alpha u_x + u^p u_x= 0, \quad 1<\alpha\le 2, \quad p\in {\mathbb N}\setminus\{0\}, $$ with homogeneous initial data $\Phi$. We show that, under smallne
Externí odkaz:
http://arxiv.org/abs/2410.12063
Autor:
Saad, Khaled M.1 (AUTHOR) khaledma_sd@hotmail.com, Srivastava, Rekha2 (AUTHOR) rekhasrivastava@uvic.ca
Publikováno v:
Symmetry (20738994). Feb2024, Vol. 16 Issue 2, p242. 17p.
Autor:
Hohloch, Sonja, Zadra, Federico
These lecture notes grew out of notes for courses around Integrable PDEs and the KdV equation given by the authors during the past five years at the University of Antwerp (Belgium). Comments and suggestions are welcome.
Comment: Lecture notes
Comment: Lecture notes
Externí odkaz:
http://arxiv.org/abs/2411.18504
Autor:
Yousif, Majeed A.1 (AUTHOR) majeed.yousif@uoz.edu.krd, Hamasalh, Faraidun K.2 (AUTHOR), Zeeshan, Ahmad3 (AUTHOR), Abdelwahed, Mohamed4 (AUTHOR)
Publikováno v:
PLoS ONE. 6/26/2024, Vol. 19 Issue 6, p1-18. 18p.
Autor:
Benia, Yassine1 a.benia@univ-alger.dz, Sadallah, Boubaker-Khaled2 sadallah@ens-kouba.dz
Publikováno v:
Proyecciones - Journal of Mathematics. Apr2024, Vol. 43 Issue 2, p401-423. 23p.
The Korteweg-de Vries equation is a fundamental nonlinear equation that describes solitons with constant velocity. On the contrary, here we show that this equation also presents accelerated wavepacket solutions. This behavior is achieved by putting t
Externí odkaz:
http://arxiv.org/abs/2409.10426
Autor:
Urazboev, G. U.1,2 (AUTHOR), Yakhshimuratov, A. B.3 (AUTHOR), Khasanov, M. M.1 (AUTHOR) hmuzaffr@mail.ru
Publikováno v:
Theoretical & Mathematical Physics. Nov2023, Vol. 217 Issue 2, p1689-1699. 11p.
Autor:
Khasanov, A. B.1 (AUTHOR) ahasanov2002@mail.ru, Khasanov, T. G.2 (AUTHOR) temur.xasanov.2018@mail.ru
Publikováno v:
Differential Equations. Dec2023, Vol. 59 Issue 12, p1678-1690. 13p.