D.E. Pelinovsky and C. Sulem

Asymptotic approximations for a new eigenvalue in linear problems without a threshold

Theor. Mat. Phys. 122, 98-106 (2000)

Abstract:
We study the criterion for a new eigenvalue to appear in the linear spectral problem associated with the intermediate long-wave equation. We compute the asymptotic value of the new eigenvalue in the limit of a small potential using a Fourier decomposition method. We compare the results with those for the Schrodinger operator with a radially symmetrical potential.

Keywords:
MULTI DIMENSIONS, SOLITONS, EQUATION