Nghiem Nguyen Ph.D.

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Publications - Journal Articles

Academic Journal

• L., Nguyen, N.V, Wang, Z.Q, (2016). Orbital stability of spatially synchronized solitary waves of an m-coupled nonlinear Schrodinger system. Journal of Mathematical Physics
• Nguyen, N.V, Wang, Z.Q, (2016). Existence and stability of a two-parameter family of solitary waves for a 2-coupled nonlinear Schrodinger system. Discrete and Continuous Dynamical System A., 36:2, 1005-1021. doi: doi: 10.3934/dcds.2016.36.1005.
• L., Nguyen, N.V, Wang, Z.Q, (2016). Existence and stability of solitary waves of an m-coupled nonlinear Schrodinger system. Journal of Mathematical Study, 49:2, 132-148. doi: doi: 10.4208/jms.v49n2.16.03
• Nguyen, N.V, (2014). Stability of solitary waves for the vector nonlinear Schrodinger equation in higher-order Sobolev spaces. Journal of Mathematical Analysis and Applications, 409, 946-962. doi: http://dx.doi.org/10.1016/j.jmaa.2013.07.050.
• Nguyen, N.V, Wang, Z.Q, Tian, R., (2014). Stability of traveling-wave solutions for a Schrodinger system with power-type nonlinearities. . Electronic Journal of Differential Equations, 2014:217, 1-16.
• Nguyen, N.V, (2014). Existence of periodic traveling-wave solutions for a nonlinear Schrodinger system: a topological approach. Topological Methods in Nonlinear Analysis. , 43:1, 129-155.
• Deconinck, B., Shiels, N., Nguyen, N.V, Tian, R., (2013). On the Spectral Stability of Soliton Solutions of the vector Nonlinear Schrodinger Equation. Journal of Physics A: Mathematical and Theoretical., 46:41, doi: doi:10.1088/1751-8113/46/41/415202
• Nguyen, N.V, Wang, Z.Q, (2013). Orbital stability of solitary waves of a 3-coupled nonlinear Schrodinger system. Journal of Nonlinear Analysis Series A: Theory, Methods & Applications. , 90, 1-26. doi: 10.1016/j.na.2013.05.027.
• Nguyen, N.V, Tian, R., Deconinck, B., Shiels, N., (2013). Global existence for a system of Schrodinger equations with power-type nonlinearities. , 54, 20. doi: 10.1063/1.4774149
• Chen, M., Nguyen, N.V, Sun, S., (2011). Existence of Solitary-Wave Solutions to Boussinesq Systems. Differential and Integral Equations, 24:9-10, 896-908.
• Nguyen, N.V, (2011). On the Orbital Stability of Solitary Waves for the 2-Coupled Nonlinear Schrodinger System. Communications in Mathematical Sciences, 9:4, 997-1012.
• Nguyen, N.V, Wang, Z.Q, (2011). Orbital Stability of Solitary Waves for a Nonlinear Schrodinger System. Advances in Differential Equations, 16:9-10, 977-1000.
• Chen, M., Nguyen, N.V, Sun, S., (2010). Solitary-wave Solutions to Boussinesq Systems with Large Surface Tension. Discrete and Continuous Dynamical Systems, 6:4, 1153-1184.
• Chen, M., Curtis, C.W, Deconinck, B., Lee, C.W, Nguyen, N.V, (2010). Spectral Stability of Stationary Solutions of a Boussinesq System Describing Long Waves in Dispersive Media. SIAM Journal on Applied Dynamical Systems, 9:3, 999-1018.
• Chen, H., Chen, M., Nguyen, N.V, (2007). Cnoidal Wave Solutions to Boussinesq Systems. , 20, 1443-1461.
• Albert, J.P, Bona, J.L, Nguyen, N.V, (2007). On the Stability of KdV Multi-Solitons. Diff. and Int. Equations, 20:8, 841-878.
• Bona, J., Liu, Y., Nguyen, N.V, (2004). Stability of Solitary Waves in Higher-Order Sobolev Spaces. Comm. in Math Sciences, 2, 35-52.

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