More Like this

1. Whitham modulation theory for the two-dimensional Benjamin-Ono equation

   https://doi.org/10.1103/PhysRevE.96.032225  

   Ablowitz, Mark; Biondini, Gino; Wang, Qiao (September 2017, Physical Review E)
2. Numerical bifurcation and stability for the capillary–gravity Whitham equation

   https://doi.org/10.1016/j.wavemoti.2021.102793  

   Charalampidis, Efstathios G.; Hur, Vera Mikyoung (November 2021, Wave Motion)

   null (Ed.)
3. On the Whitham system for the radial nonlinear Schrödinger equation

   https://doi.org/10.1111/sapm.12254  

   Ablowitz, Mark J.; Cole, Justin T.; Rumanov, Igor (April 2019, Studies in Applied Mathematics)
4. Whitham equations and phase shifts for the Korteweg–de Vries equation

   https://doi.org/10.1098/rspa.2020.0300  

   Ablowitz, Mark J.; Cole, Justin T.; Rumanov, Igor (August 2020, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences)

   null (Ed.)

   The semi-classical Korteweg–de Vries equation for step-like data is considered with a small parameter in front of the highest derivative. Using perturbation analysis, Whitham theory is constructed to the higher order. This allows the order one phase and the complete leading-order solution to be obtained; the results are confirmed by extensive numerical calculations. 

   more » « less
5. Whitham modulation theory for (2  +  1)-dimensional equations of Kadomtsev–Petviashvili type

   https://doi.org/10.1088/1751-8121/aabbb3  

   Ablowitz, Mark J; Biondini, Gino; Rumanov, Igor (May 2018, Journal of Physics A: Mathematical and Theoretical)