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
收藏
页码：1935 / 1946
页数：12
相关论文
共 50 条
  • [21] Interaction solutions of a (2+1)-dimensional dispersive long wave system
    Wang, Hui
    Wang, Yun-Hu
    Dong, Huan-He
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2018, 75 (08) : 2625 - 2628
  • [22] Rogue waves for a long wave-short wave resonance model with multiple short waves
    Chan, Hiu Ning
    Ding, Edwin
    Kedziora, David Jacob
    Grimshaw, Roger
    Chow, Kwok Wing
    NONLINEAR DYNAMICS, 2016, 85 (04) : 2827 - 2841
  • [23] Mixed-type solitons and soliton interaction for the (2+1)-dimensional two-component long wave-short wave resonance interaction equations in a two-layer fluid through the Bell polynomials
    Jiang, Yan
    Tian, Bo
    Sun, Kun
    Liu, Li-Cai
    APPLIED MATHEMATICS LETTERS, 2016, 53 : 69 - 76
  • [24] Two-component analogue of two-dimensional long wave-short wave resonance interaction equations: a derivation and solutions
    Ohta, Yasuhiro
    Maruno, Ken-ichi
    Oikawa, Masayuki
    JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2007, 40 (27) : 7659 - 7672
  • [25] Long wave-short wave resonance in nonlinear negative refractive index media
    Chowdhury, Aref
    Tataronis, John A.
    PHYSICAL REVIEW LETTERS, 2008, 100 (15)
  • [26] Modeling internal rogue waves in a long wave-short wave resonance framework
    Chan, H. N.
    Grimshaw, R. H. J.
    Chow, K. W.
    PHYSICAL REVIEW FLUIDS, 2018, 3 (12):
  • [27] Random Attractors for the Stochastic Discrete Long Wave-Short Wave Resonance Equations
    Xin, Jie
    Lu, Hong
    JOURNAL OF APPLIED MATHEMATICS, 2011,
  • [28] ATTRACTOR FOR WEAKLY DAMPED DRIVEN LONG WAVE-SHORT WAVE RESONANCE EQUATION
    GAO HONGJUN AND LIN GUOGUANG
    AppliedMathematics:AJournalofChineseUniversities, 1998, (04) : 17 - 24
  • [29] Orbital stability of solitary waves of the long wave-short wave resonance equations
    Guo, BL
    Chen, L
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 1998, 21 (10) : 883 - 894
  • [30] Attractor for weakly damped driven long wave-short wave resonance equation
    Gao H.J.
    Lin G.G.
    Applied Mathematics-A Journal of Chinese Universities, 1998, 13 (4) : 377 - 384
12345