Interrelation between various branches of stable solitons in dissipative systems––conjecture for stability criterion

摘要: Abstract We show that the complex cubic-quintic Ginzburg–Landau equation has a multiplicity of soliton solutions for same set parameters. They can either be stable or unstable. branches solitons interrelated, i.e. one branch transformed into another when parameters system are changed. This connection occurs via some unstable solutions. The transformation at points bifurcation. Based on these results, we propose conjecture stability criterion in dissipative systems.