EXISTENCE OF CLASSICAL SOLUTIONS FOR BROER-KAUP EQUATIONS

被引：0

作者：

Boureni, Dalila ^{[1
]}

Georgiev, Svetlin G. ^{[2
]}

Kheloufi, Arezki ^{[1
]}

Mebarki, Karima ^{[3
]}

机构：

[1] Bejaia Univ, Lab Appl Math, Bejaia 06000, Algeria

[2] Univ Sofia, Fac Math & Informat, Dept Differential Equat, Sofia, Bulgaria

[3] Bejaia Univ, Fac Exact Sci, Lab Appl Math, Bejaia 06000, Algeria

来源：

KRAGUJEVAC JOURNAL OF MATHEMATICS | 2024年 / 49卷 / 01期

关键词：

Broer-Kaup equations; classical solution; fixed point; initial value problem; SOLITARY WAVE SOLUTIONS; DARBOUX TRANSFORMATION; SYSTEM; SYMMETRIES; CONSTRAINTS;

D O I：

10.46793/KgJMat2501.125B

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we investigate the Cauchy problem for one dimensional Broer-Kaup equations for existence of global classical solutions. We give conditions under which the considered equations have at least one and at least two classical solutions. To prove our main results we propose a new approach based upon recent theoretical results.

引用

页码：125 / 140

页数：16

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