%0 Journal Article %A Pardo San Gil, Rosa %A Pérez García, Víctor %T Dissipative Solitons that Cannot be Trapped %D 2006 %@ 0031-9007 %U https://hdl.handle.net/20.500.14352/49704 %X 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. %~