Numerical exterior algebra and the compound matrix method. - Leanne Allen; Thomas J. Bridges (Numerische Mathematik, 2002)

Linear Instability of Solitary Wave Solutions of the Kawahara Equation and Its Generalizations. - Thomas J. Bridges; Gianne Derks (SIAM J. Math. Anal., 2002)

Nonlinear Counterpropagating Waves, Multisymplectic Geometry, and the Instability of Standing Waves. - Fiona E. Laine-Pearson; Thomas J. Bridges (SIAM J. Appl. Math., 2004)

Conservation laws in curvilinear coordinates: A short proof of Vinokur's Theorem using differential forms. - Thomas J. Bridges (Appl. Math. Comput., 2008)

Geometric Lift of Paths of Hamiltonian Equilibria and homoclinic bifurcation. - Thomas J. Bridges (Int. J. Bifurc. Chaos, 2012)

Time-dependent conformal mapping of doubly-connected regions. - Matthew R. Turner; Thomas J. Bridges (Adv. Comput. Math., 2016)

Adaptation of f-wave finite volume methods to the two-layer shallow-water equations in a moving vessel with a rigid-lid. - Hamid Alemi Ardakani; Thomas J. Bridges; Matthew R. Turner (J. Comput. Appl. Math., 2016)

Shallow-water sloshing in a moving vessel with variable cross-section and wetting-drying using an extension of George's well-balanced finite volume solver. - Hamid Alemi Ardakani; Thomas J. Bridges; Matthew R. Turner (J. Comput. Phys., 2016)

On the Elliptic-Hyperbolic Transition in Whitham Modulation Theory. - Thomas J. Bridges; Daniel J. Ratliff (SIAM J. Appl. Math., 2017)

Nonlinear Theory for Coalescing Characteristics in Multiphase Whitham Modulation Theory. - Thomas J. Bridges; Daniel J. Ratliff (J. Nonlinear Sci., 2021)

Traveling Wave Solutions of the Kawahara Equation Joining Distinct Periodic Waves. - Patrick Sprenger; Thomas J. Bridges; Michael Shearer (J. Nonlinear Sci., 2023)

Multi-symplectic simulations of W/M-shape-peaks solitons and cuspons for FORQ equation. - Weipeng Hu; Zhengqi Han; Thomas J. Bridges; Zhijun Qiao 001 (Appl. Math. Lett., 2023)