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Detection and construction of an elliptic solution to the complex cubic-quintic Ginzburg-Landau equation
Detection and construction of an elliptic solution complex cubic-quintic Ginzburg-Landau equation Exactly Solvable and Integrable Systems
2012/4/26
In evolution equations for a complex amplitude, the phase obeys a much more intricate equation than the amplitude. Nevertheless, general methods should be applicable to both variables. On the example ...
Meromorphic traveling wave solutions of the complex cubic-quintic Ginzburg-Landau equation
Elliptic solutions complex quintic Ginzburg-Landau equation Classical Analysis and ODEs
2012/4/16
We look for singlevalued solutions of the squared modulus M of the traveling wave reduction of the complex cubic-quintic Ginzburg-Landau equation. Using Clunie's lemma, we first prove that any meromor...