Research

Research Areas:

• Hamiltonian PDE

• b-Camassa Holm equation for modeling unidirectional shallow water waves

• Novikov equation for modeling unidirectional shallow water waves

• Orbital and spectral stability of solitary and periodic traveling waves of b-CH and Novikov

Preprints: 

2) Modulational Instability of Wave Trains in the Novikov Equation

With Mathew A. Johnson, Stephane Lafortune, and Wesley Perkins.

1) Orbital Stability of Smooth Solitary Waves in the Novikov Equation

With Mathew A. Johnson and Stephane Lafortune.

In-Press: "Orbital Stability of Periodic Traveling Waves in the b-Camassa-Holm Equation"

With Mathew A. Johnson.

 Physica D. (to appear) https://arxiv.org/abs/2309.17289

My advisor is Dr. Mathew A. Johnson, and his webpage is here: https://matjohn.ku.edu/