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Hybrid Ermakov-Ray-Reid/Painlevé II Symmetry Reduction: Application to a Class of Moving Boundary Problems
Colin Rogers, Adriana C. Briozzo
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-Re…
Moving boundary problems for a novel extended mKdV equation. Application of Ermakov-Painlevé II symmetry reduction
Colin Rogers, Adriana C. Briozzo
A novel extension of the canonical solitonic mKdV equation is introduced which admits hybrid Ermakov-Painlevé II symmetry reduction. Application of the latter is made to obtain exa…
Moving boundary problems with Ermakov symmetry reduction: nonlinear superposition principle and reciprocal transformation applications
Colin Rogers, Adriana C. Briozzo
Moving boundary problems of Stefan-type for a novel third order nonlinear evolution equation with temporal modulation are here shown to be amenable to exact Airy-type solution via…
A class of moving boundary problems with an exponential source term
Julieta Bollati, Ernesto A. Borrego Rodriguez, Adriana C. Briozzo +1
This work investigates a class of moving boundary problems related to a nonlinear evolution equation featuring an exponential source term. We establish a connection to Stefan-type…