Lumps and Rogue waves of Generalized Nizhnik Novikov Veselov Equation
P. Albares, P. G. Estevez, R. Radha, R. Saranya
TL;DR
This paper explores the generalized (2+1) Nizhnik-Novikov-Veselov equation, constructing its linear eigenvalue problem, and uses Darboux transformation to generate and analyze lumps and rogue waves.
Contribution
It introduces a new linear eigenvalue problem for the equation and applies Darboux transformation to produce and study lumps and rogue waves.
Findings
Constructed the linear eigenvalue problem from singularity analysis.
Generated lumps and rogue waves using Darboux transformation.
Analyzed the dynamics of the generated waves.
Abstract
We investigate the generalized (2 + 1) Nizhnik-Novikov-Veselov equation and construct its linear eigenvalue problem in the coordinate space from the results of singularity structure analysis thereby dispelling the notion of weak Lax pair. We then exploit the Lax-pair employing Darboux transformation and generate lumps and rogue waves. The dynamics of lumps and rogue waves is then investigated.
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Taxonomy
TopicsNonlinear Waves and Solitons · Nonlinear Photonic Systems · Fractional Differential Equations Solutions