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Research Interests:
Research Interests:
Dynamical systems
Pattern formation
Partial differential equations
Publications:
Publications:
J. Daniels, "On the Existence of Periodic Traveling-Wave Solutions to Certain Systems of Nonlinear, Dispersive Wave Equations", Utah State University Graduate Theses and Dissertations, 2024.Â
J. Daniels, N. Nguyen, "Exact Jacobi Elliptic Solutions of the abcd-System", Water Waves. 2024.
B. Brewer, J. Daniels, N.V. Nguyen, "Exact Jacobi elliptic solutions of some models for the interaction of long and short waves", AIMS Mathematics, 2024.
Research Talks:
Research Talks:
Graphons and their Application to Dynamical Systems, Dynamical Systems Seminar, UMN, November 2025
Topological Degree Theory for Positive Operators, Pure Math Seminar, USU, March 2024 (Slides)
Awards:
Awards:
USU Math/Stat Department 2023-2024 Graduate MS Researcher of the Year Award
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