121 citations · 386 across the 6 of their papers we have counts for
6 papers
The "good'' Boussinesq equation: long-time asymptotics
C. Charlier, J. Lenells, D. Wang
We consider the initial-value problem for the ``good'' Boussinesq equation on the line. Using inverse scattering techniques, the solution can be expressed in terms of the solution…
The Unified Method: II NLS on the Half-Line with -Periodic Boundary Conditions
J. Lenells, A. S. Fokas
Boundary value problems for integrable nonlinear evolution PDEs formulated on the half-line can be analyzed by the unified method introduced by one of the authors and used extensiv…
The Unified Method: I Non-Linearizable Problems on the Half-Line
A. S. Fokas, J. Lenells
Boundary value problems for integrable nonlinear evolution PDEs formulated on the half-line can be analyzed by the unified method introduced by one of the authors and used extensiv…
Dressing for a novel integrable generalization of the nonlinear Schrödinger equation
Jonatan Lenells
We implement the dressing method for a novel integrable generalization of the nonlinear Schrödinger equation. As an application, explicit formulas for the -soliton solutions are…
On a novel integrable generalization of the sine-Gordon equation
J. Lenells, A. S. Fokas
We consider an integrable generalization of the sine-Gordon (sG) equation that was earlier derived by one of the authors using bi-Hamiltonian methods. This equation is related to t…
Explicit soliton asymptotics for the Korteweg-de Vries equation on the half-line
A. S. Fokas, J. Lenells
Integrable PDEs on the line can be analyzed by the so-called Inverse Scattering Transform (IST) method. A particularly powerful aspect of the IST is its ability to predict the larg…