most citedCoupled-mode equations and gap solitons in a two-dimensional nonlinear elliptic problem with a separable periodic potential

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math.AP2007★ 25 cited

Coupled-mode equations and gap solitons in a two-dimensional nonlinear elliptic problem with a separable periodic potential

Tomas Dohnal, Dmitry Pelinovsky, Guido Schneider

We address a two-dimensional nonlinear elliptic problem with a finite-amplitude periodic potential. For a class of separable symmetric potentials, we study the bifurcation of the f…