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math.AP2013★ 2 cited
The Novikov-Veselov Equation: Theory and Computation
Ryan Croke, Jennifer L Mueller, Michael Music +3
Recent progress in the theory and computation for the Novikov-Veselov (NV) equation is reviewed with initial potentials decaying at infinity, focusing mainly on the zero-energy cas…
math-ph2013★ 1 cited
Transverse instability of plane wave soliton solutions of the Novikov-Veselov equation
Ryan Croke, Jennifer Mueller, Andreas Stahel
The Novikov-Veselov (NV) equation is a dispersive (2+1)-dimensional nonlinear evolution equation that generalizes the (1+1)-dimensional Korteweg-deVries (KdV) equation. This paper…