Painleve integrability and multi-wave pattern for (2+1)-dimensional long wave-short wave resonance interaction system

被引：6

作者：

Sivatharani, B. ^{[1
]}

Subramanian, K. ^{[1
]}

Sekar, A. ^{[2
]}

Sundaram, P. Shanmugha ^{[3
]}

机构：

[1] SRM Inst Sci & Technol, Dept Phys, Ramapuram Campus, Chennai 600089, Tamil Nadu, India

[2] Presidency Coll Autonomous, Dept Phys, Chennai 600005, Tamil Nadu, India

[3] Thiru Kolanjiappar Govt Arts Coll, Dept Phys, Vriddhachalam 606001, Tamil Nadu, India

来源：

NONLINEAR DYNAMICS | 2022年 / 109卷 / 03期

关键词：

LSRI system; Rogue wave; Lump; Dromion; ORDER NLS EQUATION; ROGUE WAVES; OPTICAL SOLITON; 2-COMPONENT ANALOG; DROMION SOLUTIONS; FIBER; DISPERSION; DYNAMICS;

D O I：

10.1007/s11071-022-07523-2

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

In this article, Painleve analysis is employed to test the integrability of (2+1)-dimensional long wave-short wave resonance interaction system using the Weiss-Tabor-Carnevale method. From the analysis, it is seen that the long wave-short wave resonance interaction system satisfies Painleve property and the system is expected to be integrable. Then, the long wave-short wave resonance interaction system is investigated by adopting the truncated Painleve approach. The solutions are obtained in terms of arbitrary functions in the closed form. By selecting appropriate arbitrary functions present in the solutions, localized solutions such as rogue waves, lump, one-dromion and two-dromion wave patterns are constructed. The results are also expressed graphically to illustrate the physical behavior of the long wave-short wave resonance interaction system.

引用

页码：1935 / 1946

页数：12

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