Dynamics of solitons in multicomponent long wave–short wave resonance interaction system

Pramana

T Kanna1³  K Sakkaravarthi³  M Vijayajayanthi¹  M Lakshmanan² 

[1] Department of Physics, Anna University, Chennai 600 025, India$$;Centre for Nonlinear Dynamics, School of Physics, Bharathidasan University, Tiruchirapalli 620 024, India$$;Post Graduate and Research Department of Physics, Bishop Heber College, Tiruchirappalli 620 017, India$$

关键词: Long wave–short wave resonance interaction;    Hirota’s bilinearization method;    bright and dark solitons;    soliton collision.;   

DOI  :  

学科分类：物理（综合）

来源: Indian Academy of Sciences

【 摘 要 】

In this paper, we study the formation of solitons, their propagation and collision behaviour in an integrable multicomponent (2+1)-dimensional long wave–short wave resonance interaction (𝑀-LSRI) system. First, we briefly revisit the earlier results on the dynamics of bright solitons and demonstrate the fascinating energy exchange collision of bright solitons appearing in the short-wave components of the 𝑀-LSRI system. Then, we explicitly construct the exact one-and two-multicomponent dark soliton solutions of the 𝑀-LSRI system by using the Hirota’s direct method and explore its propagation dynamics. Also, we study the features of dark soliton collisions.

【 授权许可】

Unknown