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

页数：24

共 50 条

[31] Periodic Travelling Wave Solutions of the Modified Short Pulse Equation [J].

Chen, Yujing ;

Chen, Aiyong ;

He, Xiaokai .

JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS, 2025, 32 (01)

[32] Multiloop soliton and multibreather solutions of the short pulse model equation [J].

Matsuno, Yoshimasa .

JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 2007, 76 (08)

[33] Lie symmetry analysis and exact solutions for the short pulse equation [J].

Liu, Hanze ;

Li, Jibin .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (5-6) :2126-2133

[34] ASYMPTOTICS OF BLOWUP SOLUTIONS FOR THE AGGREGATION EQUATION [J].

Huang, Yanghong ;

Bertozzi, Andrea .

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2012, 17 (04) :1309-1331

[35] Well-posedness and blow-up for a non-local elliptic–hyperbolic system related to short-pulse equation [J].

Lianhong Wang ;

Fengquan Li .

Zeitschrift für angewandte Mathematik und Physik, 2022, 73

[36] SELF-SIMILAR CHARACTER OF THE LARGE-TIME ASYMPTOTICS OF SOLUTIONS TO THE DERIVATIVE FRACTIONAL NONLINEAR SCHRÖDINGER EQUATION [J].

Hayashi, Nakao ;

Naumkin, Pavel, I .

TOHOKU MATHEMATICAL JOURNAL, 2025, 77 (02) :239-267

[37] Finding the One-Loop Soliton Solution of the Short-Pulse Equation by Means of the Homotopy Analysis Method [J].

Parkes, E. J. ;

Abbasbandy, S. .

NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2009, 25 (02) :401-408

[38] LONG TIME DECAY AND ASYMPTOTICS FOR THE COMPLEX mKdV EQUATION [J].

Stewart, Gavin .

SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2025, 57 (01) :825-885

[39] Large time asymptotics for the higher-order nonlinear nonlocal Schrodinger equation [J].

Juarez-Campos, Beatriz ;

Naumkin, Pavel I. .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2021, 205

[40] Direct similarity reductions and new exact solutions of the short pulse equation [J].

Chen, Quting ;

Shang, Yadong .

AIMS MATHEMATICS, 2019, 4 (02) :231-241

← 1 2 3 4 5 →