33 citations · 70 across the 5 of their papers we have counts for
5 papers
Comment on `Painlevé Integrability and Multi-wave pattern for (2+1) dimensional Long wave-Short wave Resonance Interaction system'
R. Radha, C. Senthil Kumar
In the paper by Sivatharani et al [1], the authors make a tall claim about the integrability of a 2 component (2+1) dimensional Long wave Short wave Resonance Interaction (2C(2+1)L…
Painlev{é} singularity structure analysis of three component Gross-Pitaevskii type equations
T. Kanna, K. Sakkaravarthi, C. Senthil Kumar +2
In this paper, we have studied the integrability nature of a system of three coupled Gross-Pitaevskii type nonlinear evolution equations arising in the context of spinor Bose-Einst…
Trilinearization and Localized Coherent Structures and Periodic Solutions for the (2+1) dimensional K-dV and NNV equations
C. Senthil Kumar, R. Radha, M. Lakshmanan
In this paper, using a novel approach involving the truncated Laurent expansion in the Painlevé analysis of the (2+1) dimensional K-dV equation, we have trilinearized the evolution…
Nonintegrability of (2+1)-dimensional continuum isotropic Heisenberg spin system: Painlevé analysis
C. Senthil Kumar, M. Lakshmanan, B. Grammaticos +1
While many integrable spin systems are known to exist in (1+1) and (2+1) dimensions, the integrability property of the physically important (2+1) dimensional isotropic Heisenberg f…
Exponentially Localized Solutions of Mel'nikov Equation
C. Senthil Kumar, R. Radha, M. Lakshmanan
The Mel'nikov equation is a (2+1) dimensional nonlinear evolution equation admitting boomeron type solutions. In this paper, after showing that it satisfies the Painlevé property,…