The trial function approach is a useful technique to modelling soliton solutions for equations that cannot be solved exactly. The authors use the variational approach to find approximate solutions for… Click to show full abstract
The trial function approach is a useful technique to modelling soliton solutions for equations that cannot be solved exactly. The authors use the variational approach to find approximate solutions for the dissipative solitons described by the cubic-quintic complex Ginzburg-Landau equation. They find that the evolution equations for the soliton parameters are similar to those derived using the method of moments. The existence of both stationary and pulsating soliton solutions is indicated by both approaches.
               
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