329 citations · 1.5k across the 35 of their papers we have counts for
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Multicomponent long-wave--short-wave resonance interaction system: Bright solitons, energy-sharing collisions, and resonant solitons
K. Sakkaravarthi, T. Kanna, M. Vijayajayanthi +1
We consider a general multicomponent (2+1)-dimensional long-wave--short-wave resonance interaction (LSRI) system with arbitrary nonlinearity coefficients, which describes the nonli…
Elliptic Waves in Two Component Long Wave--Short Wave Resonance Interaction System in One and Two dimensions
Avinash Khare, T. Kanna, K. Tamilselvan
We consider (2+1) and (1+1) dimensional long-wave short-wave resonance interaction systems. We construct an extensive set of exact periodic solutions of these systems in terms of L…
Vector rogue waves and dark-bright boomeronic solitons in autonomous and non-autonomous settings
R. B. Mareeswaran, E. G. Charalampidis, T. Kanna +2
In this work, we consider the dynamics of vector rogue waves and dark-bright solitons in two-component nonlinear Schrödinger equations with various physically motivated time-depend…
General multicomponent Yajima-Oikawa system: Painlevé analysis, soliton solutions, and energy-sharing collisions
T. Kanna, K. Sakkaravarthi, K. Tamilselvan
We consider the multicomponent Yajima-Oikawa (YO) system and show that the two-component YO system can be derived in a physical setting of three-coupled nonlinear Schrödinger (3-CN…