6 papers
A novel 2+1-dimensional extended Dym equation: moving boundary problems solvable via Painlevé II symmetry reduction
Colin Rogers, Pablo Amster
A novel 2+1-dimensional extension of the solitonic Dym equation is shown to admit a Painlevé II symmetry reduction which permits the exact solution of a class of Stefan-type movin…
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…
An Extended Modified Kadomtsov-Petviashvili Equation: Ermakov-Painlevé II Symmetry Reduction with Moving Boundary Application
Colin Rogers, Pablo Amster
Here, a novel 2+1-dimensional nonlinear evolution equation with temporal modulation is introduced which admits integrable Ermakov-Painlevé II symmetry reduction. Application is ma…
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 ex…
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…