Dissipative solitons that cannot be trapped
R. Pardo, V.M. Pérez-García
Physical Review Letters 97, 254101 (2006).
Pérez García, Victor M..
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.