Vahagn Manukian

Education

• Ph.D., Mathematics, Ohio State University
• M.A., SUNY at Buffalo

Research Interests

• Applied dynamical systems
• Homoclinic, heteroclinc and limit cycle bifurcations
• Existence and stability of nonlinear waves
• Partial and ordinary differential equations

Publications

A. Ghazaryan, S. Lafortune, V. Manukian, Stability of front solutions in a model for a surfactant driven flow on an inclined plane. Physica D. Nonlinear Phenomena 307 (2015) 1-13.  

A. Ghazaryan, V. Manukian, S. Schecter, Traveling waves in the Holling-Tanner model with weak diffusion. Proceedings of the Royal Society of London A: Mathematical, Physical and Engineering Sciences 471 (2015) 16pp.

V. Manukian, On traveling waves of Gray-Scott model. Dynamical Systems: An International Journal 30 (2015), no 3, 270-296.

A. Ghazaryan, V. Manukian, Coherent structures in a population model for mussel-algae interaction. SIAM Journal on Dynamical Systems 14 (2015), no. 2, 893-913.

N. Costanzino, V. Manukian, C.K.R.T Jones, Solitary waves of the regularized short pulse and Ostrovsky equations. SIAM J. Math. Anal. 41 (2009) 2088-2106.  

V. Manukian, N. Costanzino, C.K.R.T Jones, B. Sandstede, Existence of multi-pulses of the regularized short-pulse and Ostrovsky equations. Journal of Dynamics and Differential Equations 21 (2009) 607-622.  

V. Manukian, B. Sandstede. Multi-hump pulses in systems with reflection and phase invariance. Journal of Differential Equations 247 (2009) 1886-1898.  

V. Manukian, S. Schecter. Traveling waves for a thin liquid film with surfactant on an inclined plane. Nonlinearity 22 (2009) 85-122.