References

[1]   K. Datchev and I. Ventura, Solitary waves for the nonlinear Hartree equation with an external potential. arXiv:0904.0834

[2]   S.I. Dejak and B.L.G Jonsson, Long time dynamics of variable coefficient mKdV solitary waves, J. Math. Phys., 47, 2006.

[3]   S.I. Dejak and I.M. Sigal, Long-time dynamics of KdV solitary waves over a variable bottom, Comm. Pure Appl. Math. 59 (2006), pp. 869–905.

[4]   L.D. Faddeev and L.A. Takhtajan, Hamiltonian methods in the theory of solitons, Springer-Verlag Berlin Heidelberg 2007, translated from the Russian by A.G. Reyman.

[5]   J. Fröhlich, S. Gustafson, B.L.G. Jonsson, and I.M. Sigal, Solitary wave dynamics in an external potential, Comm. Math. Physics, 250(2004), 613–642.

[6]   J. Holmer, Dynamics of KdV solitons in the presence of a slowly varying potential. arXiv:1001.1583

[7]   J. Holmer, G. Perelman, and M. Zworski, Effective dynamics for double solitons for perturbed mKdV.

[8]   J. Holmer and M. Zworski, Slow soliton interaction with delta impurities, J. Modern Dynamics 1 (2007), pp. 689–718.

[9]   J. Holmer and M. Zworski, Soliton interaction with slowly varying potentials, IMRN Internat. Math. Res. Notices 2008 (2008), Art. ID runn026, 36 pp.

[10]   L.N. Trefethen, Spectral Methods in MATLAB, SIAM, Philadelphia, 2000