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nlin.SI2007
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…
nlin.SI2004
Localized Coherent Structures of Ishimori Equation I through Hirota's Bilinearization method:Time dependent/Stationary boundaries
S. Vijayalakshmi, M. Lakshmanan
Ishimori equation is a dimensional generalization of the dimensional integrable classical continuous Heisenberg ferromagnetic spin equation. The richness of the coh…
nlin.SI2004★ 47 cited
New aspects of integrability of force-free Duffing-van der Pol oscillator and related nonlinear systems
V. K. Chandrasekar, M. Senthilvelan, M. Lakshmanan
In this letter we show that the force-free Duffing-van der Pol oscillator is completely integrable for a specific parametric choice. We derive a general solution for this parametri…