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
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
  • [1] Large time asymptotics of solutions to the short-pulse equation
    Mamoru Okamoto
    Nonlinear Differential Equations and Applications NoDEA, 2017, 24
  • [2] LONG-TIME ASYMPTOTICS FOR THE COUPLED MODIFIED COMPLEX SHORT-PULSE EQUATION
    Liu, Wenhao
    Geng, Xianguo
    Liu, Huan
    COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2024, 23 (04) : 507 - 545
  • [3] Long-time asymptotics for the coupled complex short-pulse equation with decaying initial data
    Geng, Xianguo
    Liu, Wenhao
    Li, Ruomeng
    JOURNAL OF DIFFERENTIAL EQUATIONS, 2024, 386 : 113 - 163
  • [4] Spectral stability of elliptic solutions to the short-pulse equation
    Sun, Wen-Rong
    PHYSICA D-NONLINEAR PHENOMENA, 2023, 456
  • [5] Riemann-Hilbert approach and long-time asymptotics of the positive flow short-pulse equation
    Wang, Kedong
    Geng, Xianguo
    Chen, Mingming
    PHYSICA D-NONLINEAR PHENOMENA, 2022, 439
  • [6] The periodic traveling-wave solutions of the short-pulse equation
    Xie, Shaolong
    Hong, Xiaochun
    Gao, Bin
    APPLIED MATHEMATICS AND COMPUTATION, 2011, 218 (06) : 2542 - 2548
  • [7] Long-time asymptotics for the short pulse equation
    Xu, Jian
    JOURNAL OF DIFFERENTIAL EQUATIONS, 2018, 265 (08) : 3494 - 3532
  • [8] On the double-pole solutions of the complex short-pulse equation
    Xu, Jian
    Guo, Ning
    Li, Hongyu
    Tu, Youzhi
    MODERN PHYSICS LETTERS B, 2021, 35 (07):
  • [9] A note on loop-soliton solutions of the short-pulse equation
    Parkes, E. J.
    PHYSICS LETTERS A, 2010, 374 (42) : 4321 - 4323
  • [10] Soliton resolution for the short-pulse equation
    Yang, Yiling
    Fan, Engui
    JOURNAL OF DIFFERENTIAL EQUATIONS, 2021, 280 : 644 - 689