Wavelet analysis on Cauchy problems of nonlinear Schrodinger equations

被引：0

作者：

Guan, N ^{[1
]}

Li, LH ^{[1
]}

Yashiro, K ^{[1
]}

Ohkawa, S ^{[1
]}

机构：

[1] Chiba Univ, Dept Elect & Elect Engn, Inage Ku, Chiba 263, Japan

来源：

1997 ASIA-PACIFIC MICROWAVE CONFERENCE PROCEEDINGS, VOLS I-III | 1997年

关键词：

D O I：

暂无

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

The property of localization in both time and frequency domains helps the wavelet analysis make a good resort for numerical solutions which vary dramatically in both domains. A wavelet-based numerical analysis is proposed for solving the Cauchy problems of the nonlinear Schrodinger equations in this paper. It calculates linear and nonlinear terms of the equations in the wavelet-transformed domain to show that the analysis is quite effective.

引用

页码：681 / 684

页数：4

共 50 条

[21] On the Cauchy problem for a coupled system of third-order nonlinear Schrodinger equations
Braganca, L. M.
Scialom, M.
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2010, 73 (09) : 2991 - 3003
[22] On the well-posedness of the Cauchy problem for some nonlocal nonlinear Schrodinger equations
Albert, John
Kahlil, Estapraq
[J]. NONLINEARITY, 2017, 30 (06) : 2308 - 2333
[23] CAUCHY-PROBLEM AND EHRENFEST LAW OF NONLINEAR SCHRODINGER-EQUATIONS WITH POTENTIALS
OH, YG
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 1989, 81 (02) : 255 - 274
[24] The global Cauchy problems for the nonlinear dispersive equations on modulation spaces
Kato, Tomoya
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2014, 413 (02) : 821 - 840
[25] PAINLEVE ANALYSIS OF THE NONLINEAR SCHRODINGER FAMILY OF EQUATIONS
CLARKSON, PA
COSGROVE, CM
[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1987, 20 (08): : 2003 - 2024
[26] WKB analysis of nonelliptic nonlinear Schrodinger equations
Carles, Remi
Gallo, Clement
[J]. COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 2020, 22 (06)
[27] WKB analysis for nonlinear Schrodinger equations with potential
Carles, Remi
[J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2007, 269 (01) : 195 - 221
[28] A variational method of optimal control problems for nonlinear Schrodinger equations
Subasi, M
[J]. NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2004, 20 (01) : 82 - 89
[29] Partial data inverse problems for nonlinear magnetic Schrodinger equations
Lai, Ru-Yu
Zhou, Ting
[J]. MATHEMATICAL RESEARCH LETTERS, 2023, 30 (05)
[30] Multidimensional problems for nonlinear fractional Schrodinger differential and difference equations
Ashyralyev, Allaberen
Hicdurmaz, Betul
[J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2021, 44 (04) : 2731 - 2751

← 1 2 3 4 5 →