Large time asymptotics of solutions to the short-pulse equation

被引：5
作者：
Okamoto, Mamoru [1 ]
机构：
[1] Shinshu Univ, Fac Engn, Div Math & Phys, 4-17-1 Wakasato, Nagano 3808553, Japan
来源：
NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS | 2017年 / 24卷 / 04期
关键词：
Reduced Ostrovsky equation; Short-pulse equation; Modified scattering; GENERALIZED OSTROVSKY EQUATION; GORDON EQUATIONS; WELL-POSEDNESS; WAVE BREAKING; SPACE; BEHAVIOR;
D O I：
10.1007/s00030-017-0464-8
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider the long-time behavior of solutions to the short-pulse equation. Using the method of testing by wave packets, we prove small data global existence and modified scattering.
引用
收藏
页数：24
相关论文
共 50 条
  • [21] Asymptotics of solutions to the generalized Ostrovsky equation
    Hayashi, Nakao
    Naumkin, Pavel I.
    Niizato, Tomoyuki
    JOURNAL OF DIFFERENTIAL EQUATIONS, 2013, 255 (08) : 2505 - 2520
  • [22] Well-posedness and blow-up for a non-local elliptic-hyperbolic system related to short-pulse equation
    Wang, Lianhong
    Li, Fengquan
    ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2022, 73 (05):
  • [23] Darboux Transformation and Multisoliton Solutions of the Short Pulse Equation
    Saleem, Usman
    ul Hassan, Mahmood
    JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 2012, 81 (09)
  • [24] BOUNDED TRAVELING WAVE SOLUTIONS TO THE SHORT PULSE EQUATION
    Zhuang, Binxian
    Xiang, Yuanjiang
    Dai, Xiaoyu
    Wen, Shuangchun
    JOURNAL OF NONLINEAR OPTICAL PHYSICS & MATERIALS, 2012, 21 (04)
  • [25] Inverse scattering transform for the complex short-pulse equation by a Riemann-Hilbert approach
    Prinari, Barbara
    Trubatch, A. David
    Feng, Bao-Feng
    EUROPEAN PHYSICAL JOURNAL PLUS, 2020, 135 (09)
  • [26] Convergence of the regularized short pulse equation to the short pulse one
    Coclite, Giuseppe Maria
    di Ruvo, Lorenzo
    MATHEMATISCHE NACHRICHTEN, 2018, 291 (5-6) : 774 - 792
  • [27] On long-time asymptotics to the nonlocal short pulse equation with the Schwartz-type initial data: Without solitons
    Wu, Xin
    Tian, Shou-Fu
    PHYSICA D-NONLINEAR PHENOMENA, 2023, 448
  • [28] The short pulse equation by a Riemann-Hilbert approach
    de Monvel, Anne Boutet
    Shepelsky, Dmitry
    Zielinski, Lech
    LETTERS IN MATHEMATICAL PHYSICS, 2017, 107 (07) : 1345 - 1373
  • [29] On classical solutions for the fifth-order short pulse equation
    Coclite, Giuseppe
    di Ruvo, Lorenzo
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2021, 44 (11) : 8814 - 8837
  • [30] Multiloop soliton and multibreather solutions of the short pulse model equation
    Matsuno, Yoshimasa
    JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 2007, 76 (08)
12345