title: Dissipative solitons that cannot be trapped.
abstract: We show that dissipative solitons in systems with high-order nonlinear dissipation cannot survive in the presence of trapping potentials of the rigid wall or asymptotically increasing type. Solitons in such systems can survive in the presence of a weak potential but only with energies out of the interval of existence of linear quantum mechanical stationary states.
authors.affiliation: Departamento de Matemática Aplicada, Facultad de Ciencias Químicas, Universidad Complutense, Avda. Complutense s/n, 28040 Madrid, Spain. rpardo@mat.ucm.es
authors.forename: Rosa
authors.initials: R
authors.lastname: Pardo
authors.forename: Víctor M
authors.initials: VM
authors.lastname: Pérez-García