Hybrid Ermakov-Ray-Reid/Painlevé II Symmetry Reduction: Application to a Class of Moving Boundary Problems
Abstract
Here, a class of nonlinear moving boundary problems for a novel extension of a two-component mKdV system is shown to admit exact solution via application of a hybrid Ermakov-Ray-Reid / Painlevé II symmetry ansatz.The mKdV system has its genesis in a reduction of a coupled nonlinear NLS system incorporating deBroglie - Bohm potential terms.
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