Exact solutions to a family of complex Ginzburg-Landau equations with cubic-quintic nonlinearity

Authors: Vassilev, Vassil M.

Subject Terms: Nonlinear Sciences - Exactly Solvable and Integrable Systems, Mathematical Physics, 35C05 (Primary) 35C07, 35C08 (Secondary)

Access URL: http://arxiv.org/abs/2304.07271

First and Second Integrals of Hopf–Langford-Type Systems.

Authors: Vassilev, Vassil M.¹ (AUTHOR) s.nikolov@imbm.bas.bg, Nikolov, Svetoslav G.^1,2 (AUTHOR)

Source: Axioms (2075-1680). Jan2025, Vol. 14 Issue 1, p8. 13p.

Subject Terms: *PHASE space, *NONLINEAR systems, *DYNAMICAL systems, *INTEGRALS, *POLYNOMIALS

Flexoelectric fluid membranes in electric field. Shape equations and exact solutions

Authors: Valchev, Galin S., Vassilev, Vassil M.

Subject Terms: Condensed Matter - Soft Condensed Matter

Access URL: http://arxiv.org/abs/2107.06081

(Invited) Kink solutions of the complex cubic– quintic Ginzburg-Landau equation in the presence of intrapulse Raman scattering

Authors: Uzunov, Ivan M., Vassilev, Vassil M., Arabadzhiev, Todor N., Nikolov, Svetoslav G.

Source: In Optik September 2023 286

Exact solution for the order parameter profiles and the Casimir force in $^4$He superfluid films in an effective field theory

Authors: Dantchev, Daniel, Rudnick, Joseph, Vassilev, Vassil M, Djondjorov, Peter A

Source: Physica A: Statistical Mechanics and its Applications 522C (2019) pp. 324-338

Subject Terms: Condensed Matter - Statistical Mechanics

Access URL: http://arxiv.org/abs/1903.04917

Exact results for the behavior of the thermodynamic Casimir force in a model with a strong adsorption

Authors: Dantchev, Daniel M, Vassilev, Vassil M, Djondjorov, Peter A

Source: Journal of Statistical Mechanics: Theory and Experiment, (2016) 093209

Subject Terms: Condensed Matter - Statistical Mechanics

Access URL: http://arxiv.org/abs/1610.01075

Exact results for the temperature-field behavior of the thermodynamic Casimir force in a model of film system with a strong surface adsorption

Authors: Dantchev, Daniel M., Vassilev, Vassil M., Djondjorov, Peter A.

Subject Terms: Condensed Matter - Statistical Mechanics

Access URL: http://arxiv.org/abs/1603.08435

Investigation of a Biochemical Model with Recycling in Case of Negative Cooperativity.

Authors: Nikolov, Svetoslav G.^1,2,3,4 (AUTHOR) s.nikolov@imbm.bas.bg, Vassilev, Vassil M.¹ (AUTHOR) m.nenov@imbm.bas.bg, Nenov, Momchil I.¹ (AUTHOR)

Source: Mathematics (2227-7390). Jan2025, Vol. 13 Issue 2, p260. 18p.

Subject Terms: *LIMIT cycles, *BIOCHEMICAL models, *AFFECT (Psychology), *LYAPUNOV stability, *BIOCHEMICAL substrates

Exact results for the temperature-field behavior of the Ginzburg-Landau Ising type mean-field model

Authors: Dantchev, Daniel M., Vassilev, Vassil M., Djondjorov, Peter A.

Source: J. Stat. Mech. (2015) P08025

Subject Terms: Condensed Matter - Statistical Mechanics

Access URL: http://arxiv.org/abs/1505.04669

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Analytic description and explicit parametrization of the equilibrium shapes of elastic rings and tubes under uniform hydrostatic pressure

Authors: Djondjorov, Peter A., Vassilev, Vassil M., Mladenov, Ivailo M.

Subject Terms: Mathematical Physics

Access URL: http://arxiv.org/abs/1008.0533

Complex Dynamics of Rössler–Nikolov–Clodong O Hyperchaotic System: Analysis and Computations.

Authors: Nikolov, Svetoslav G.^1,2 (AUTHOR) s.nikolov@imbm.bas.bg, Vassilev, Vassil M.¹ (AUTHOR)

Source: Axioms (2075-1680). Feb2023, Vol. 12 Issue 2, p185. 14p.

Subject Terms: *INTERIM governments, *NUMERICAL analysis, *COMPUTER simulation

Company/Entity: REPUBLICAN National Committee (U.S.) 604806869

Acceleration Waves in the von Karman Plate Theory

Authors: Djondjorov, Peter A., Vassilev, Vassil M.

Source: Integral Methods in Science and Engineering, Chapman & Hall / CRC Research Notes in Mathematics 418, Boca Raton, FL, pp. 131-136 (2000)

Subject Terms: Mathematical Physics, Mathematics - Analysis of PDEs, 34A34, 74B20, 35J60, 54H99

Access URL: http://arxiv.org/abs/math-ph/0006016

Application of Lie Transformation Group Methods to Classical Theories of Plates and Rods

Authors: Vassilev, Vassil M., Djondjorov, Peter A.

Subject Terms: Mathematical Physics, Mathematics - Analysis of PDEs, 74B05, 35J60, 54H99

Access URL: http://arxiv.org/abs/math-ph/0006010

Symmetry Groups and Equivalence Transformations in the Nonlinear Donnell-Mushtari-Vlasov Theory for Shallow Shells

Authors: Vassilev, Vassil M.

Source: J. Theoret. and Appl. Mech., 27 (1997), pp. 43-51

Subject Terms: Mathematics - Analysis of PDEs, Mathematics - Group Theory, 74B20, 35J60, 54H99

Access URL: http://arxiv.org/abs/math/0006068

Dynamics and Stability of Double-Walled Carbon Nanotube Cantilevers Conveying Fluid in an Elastic Medium.

Authors: Vassilev, Vassil M., Valchev, Galin S.

Source: Dynamics (2673-8716); Jun2024, Vol. 4 Issue 2, p222-232, 11p

Subject Terms: DOUBLE walled carbon nanotubes, CANTILEVERS, EULER-Bernoulli beam theory, VAN der Waals forces, FLUID flow

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Coherent structures and sequences of exact kink and anti-kink solutions to the complex cubic–quintic Ginzburg-Landau equation perturbed by intrapulse Raman scattering.

Authors: Uzunov, Ivan M., Arabadzhiev, Todor N., Vassilev, Vassil M., Nikolov, Svetoslav G.

Source: Optical & Quantum Electronics; Dec2023, Vol. 55 Issue 14, p1-19, 19p

Subject Terms: QUINTIC equations, RAMAN scattering, SIMULTANEOUS equations, NONLINEAR optics, FIBER lasers, EQUATIONS

Exact solutions to a family of nonlinear Schrödinger equations.

Authors: Vassilev, Vassil M

Source: Journal of Physics: Conference Series; Nov2023, Vol. 2667 Issue 1, p1-8, 8p

Deformation of injected vesicles adhering onto flat rigid substrates

Authors: Djondjorov, Peter A., Vassilev, Vassil M., Mladenov, Ivaïlo M.

Source: In Computers and Mathematics with Applications August 2012 64(3):214-220