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Symmetries and Casimirs of radial compressible fluid flow and gas dynamics in n>1 dimensions
Stephen C. Anco, Sara Seifi, Thomas Wolf
Symmetries and Casimirs are studied for the Hamiltonian equations of radial compressible fluid flow in n>1 dimensions. An explicit determination of all Lie point symmetries is carr…
Exact solutions of semilinear radial Schrodinger equations by separation of group foliation variables
Stephen C. Anco, Wei Feng, Thomas Wolf
Explicit solutions are obtained for a class of semilinear radial Schrodinger equations with power nonlinearities in multi-dimensions. These solutions include new similarity solutio…
Travelling waves and conservation laws for complex mKdV-type equations
Stephen C. Anco, Mohammad Mohiuddin, Thomas Wolf
Travelling waves and conservation laws are studied for a wide class of U(1)-invariant complex mKdV equations containing the two known integrable generalizations of the ordinary (re…
Conservation laws and symmetries of quasilinear radial wave equations in multi-dimensions
Stephen C. Anco, Steven A. MacNaughton, Thomas Wolf
Symmetries and conservation laws are studied for two classes of physically and analytically interesting radial wave equations with power nonlinearities in multi-dimensions. The res…
Invertible Mappings of Nonlinear PDEs to Linear PDEs Through Admitted Conservation Laws
Stephen C. Anco, George Bluman, Thomas Wolf
An algorithmic method using conservation law multipliers is introduced that yields necessary and sufficient conditions to find invertible mappings of a given nonlinear PDE to some…
Supersymmetric Representations and Integrable Fermionic Extensions of the Burgers and Boussinesq Equations
Arthemy V. Kiselev, Thomas Wolf
We construct new integrable coupled systems of N=1 supersymmetric equations and present integrable fermionic extensions of the Burgers and Boussinesq equations. Existence of infini…