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4 papers
A variational characterization of 2-soliton profiles for the KdV equation
John P. Albert, Nghiem V. Nguyen
We use profile decomposition to characterize 2-soliton solutions of the KdV equation as global minimizers to a constrained variational problem involving three of the polynomial con…
A uniqueness result for 2-soliton solutions of the KdV equation
John P. Albert, Nghiem V. Nguyen
Multisoliton solutions of the KdV equation satisfy nonlinear ordinary differential equations which are known as stationary equations for the KdV hierarchy, or sometimes as Lax-Novi…
On the (in)validity of the NLS-KdV system in the study of water waves
Chuangye Liu, Nghiem V. Nguyen
It is universally accepted that the cubic, nonlinear Schrodinger equation (NLS) models the dynamics of narrow-bandwidth wave packets consisting of short dispersive waves, while th…
The interaction of long and short waves in dispersive media
Bernard Deconinck, Nghiem V. Nguyen, Benjamin L. Segal
The KdV equation models the propagation of long waves in dispersive media, while the NLS equation models the dynamics of narrow-bandwidth wave packets consisting of short dispersiv…