Vassilis Rothos
Vassilis Rothos
A. Pankov and V. Rothos "Solitons in discrete nonlinear Schrodinger equation with saturable nonlinearity" Proc Roy Soc: A (submitted) 2008.
E. Doktorov, V. Rothos and Y. Kivshar " Full-time dymanics of modulational instability in spinor Bose--Einstein condensates " Phys. Rev. A 76, 013626, 2007.
V. Rothos and P.G.Kevrekidis ''Stability of Waves in Multi-component DNLS system'', J. Phys. A: Math. Theor., 40 4553-4566, 2007.
M. Feckan and V. Rothos ''Travelling Waves in Hamiltonian Systems on 2D Lattices with Nearest Neighbor Interactions Nonlinearity 20 319-341, 2007.
M. Klaus and D.E. Pelinovsky and V. Rothos "Evans Function for Lax operators with decaying potentials'', J. Nonlinear Sci. 16(1) 1-44, 2006.
D.E. Pelinosky and V. Rothos "Bifurcations of travelling breathers in the discrete NLS equation'' Physica D 202, 16--36, 2005.
M. Feckan and V. Rothos "Kink-Like Periodic Travelling Waves for Lattice Equations with on-site and intersite Potentials'' Dynamics of PDEs 2(4), 357, 2005.
V. Rothos ``Subharmonic Bifurcations of Localized Solutions of a discrete NLS equation". Discrete and Continuous Dynamical Systems, (Supplement Issue), 756-767, 2005.
E. Doktorov, T. Matsuka and V. Rothos" Dynamics of Ablowitz--Ladik soliton train'', Phys Rev E, 69 056607, 2004.
A. Berger, R.S. MacKay and V. Rothos "A criterion for non-persistence of Travelling Breathers for Perturbations of the Ablowitz-Ladik Lattice'', Discrete and Continuous Dynamical Systems: Series B, 4(4), 2004.
A. Aigner, A.R.Champneys and V. Rothos "A new barrier to the existence for moving kinks in Frenkel-Kontorova lattices'', Physica D 186 (3-4), 148--170, 2003.
E. Doktorov and V. Rothos "Homoclinic Orbits for Soliton Equations Solvable via the Quadratic Bundle'' Phys Letters A, 314 (1-2), 59--67, 2003.
E. Doktorov, T. Matsuka and V. Rothos "Perturbation-induced radiation by Ablowitz-ladik soliton'' Phys Rev E, 68, 066610, 2003.
M. Inarrea, V. Lanchares, V. Rothos and J. P.Salas ``Chaotic rotations of an asymmetric body with time-dependent moments of inertia and viscous drag'', Int. J. Bif. Chaos, 13(2), 393-409, 2003.
V. Rothos ``Homoclinic Intersections in Perturbed Lattice modified KdV equation'', Theoretical and Mathematical Physics, 134 (1), 117--127, 2003.
M. Feckan and V. Rothos `Bifurcations of Periodics from Homoclinics in Singular O.D.E.: Applications to Discretizations ofTravelling Waves of P.D.E.'' Communication on Pure and Applied Analysis, 1(4), 475-483, 2002.
V. Rothos, Ch. Antonopoulos and L.Drossos ``Chaos in a near-integrable Hamiltonian lattice''. Int. J. Bif. Chaos, 12(8), 1743--1754, 2002.
V. Rothos ``Homoclinic Intersections and Mel'nikov Method for Perturbed sine-Gordon Equation'', Dynamical Systems, 16(3), 279-302, 2001.
V. Rothos ``Homoclinic Orbits in near-integrable double discrete sine-Gordon equation'', J. Phys. A: Math and General, 34, 3671--3688, 2001.
V. Rothos and T. Bountis ``Non--Integrability and Infinite Branching of Solutions of 2 d.o.f Hamiltonian Systems in the Complex Time Plane'' Nonlinear Phenomena in Complex Systems, 2(2) 63-71, 1999.
V. Rothos ``Mel'nikov Theory of Coupled Perturbed Discretized NLS Equations''. Chaos, Solitons and Fractals 10, (7), 1119--1134, 1999.
V. Rothos ``Existence of Homoclinic Tubes in sine-Gordon Equation with Hamiltonian Perturbation'', J. Phys. A: Math and General, 32(36), 6409-6422, 1999.
G. Mennon, G.Haller and V. Rothos ``Silnikov manifolds in coupled nonlinear Schrodinger equations'' Phys. Lett. A, 263, 175--185,1999.
V. Rothos and T. Bountis ``The Dynamics of Coupled Perturbed Discretized NLS Equations'' Physica D 113, 326--331, 1998.
V. Rothos and T. Bountis ``Mel'nikov Analysis of Phase Space Transport in N-degree-of-freedom Hamiltonian Systems'', Nonlinear Analysis, Vol. 30 (3), 1365-75, 1997.
V. Rothos and T. Bountis ``The Second Order Mel'nikov Vector'' Regular and Chaotic Dynamics, 2,(1), 26 -35, 1997.
T. Bountis and V. Rothos ``On the Analytic Structure of two-degree-of-freedom Hamiltonian Systems Around an Elliptic Fixed Point' Nonlinearity 9, 877--886 1996.
V. Rothos and A. Aigner ``Homoclinic Orbits in a Near-Integrable mixed type CNLS system'', Proceedings of the Workshop: ''Applied Nonlinear Physics'', World Scientific, 2003.
E. Doktorov and V. Rothos "Homoclinic Structure for Nonlinear Integrable Wave Equations: New Approach'', Proceedings of the Sixth International Conference on Mathematical and Numerical Aspects of Wave Propagation, Waves 2003, pp. 717-723,Springer-Verlag..
D.E. Pelinovsky and V.Rothos "Evans Function for the AKNS problem with Algebraic Solitons'', Proceedings of the Sixth International Conference on Mathematical and Numerical Aspects of Wave Propagation, Waves 2003, pp. 729--735, Springer-Verlag.
V. Rothos and M. Feckan "Travelling Waves in discrete sine-Gordon equation'', in "Nonlinear Waves: Classical and Quantum Aspects", Kluwer Acad. Publ., Dordrecht, the Netherlands, 2003.
E.V. Doktorov, N.P. Matsuka and V. Rothos "Dynamics of the perturbed Ablowitz-Ladik soliton beyond the adiabatic approximation'', in "Nonlinear Waves: Classical and Quantum Aspects", Kluwer Acad. Publ., Dordrecht, the Netherlands, 2003.
V. Rothos ``Persistent homoclinic orbits in Near-Integrable PDEs'', Proceedings of the Workshop on Nonlinearity, Integrability and all that 20 years after NEEDS'79, Gallipoli, Lecce July 1-10, 1999, Eds. M. Boiti et al, 402-408 World Scientific, 2000.
V. Rothos and T. Bountis ``Mel'nikov Vector and Singularity Analysis Periodically Perturbed 2-d.o.f Hamiltonian Systems''``Hamiltonian Systems with three or more degrees-of-freedom'', C. Simo ed., NATO Adv. Sci. Inst. Ser. C: Math. and Phys. Sci., Held in S' Agaro Spain 19--30 June 1995, 533, 544-548, Kluwer Acad. Publ., 1999.
V. Rothos and T. Bountis ``Persistence of Homoclinic orbits in a Discretized NLS equation with Hamiltonian Perturbation'', Proceedings of Workshop on Symmetry and Perturbation Theory, Turin, December 1996, G. Gaeta & D. Bambusi, eds. GNFM-CNR, 174-187, 1998.