Dear Colleagues,

The aim of this Special Issue is to publish original research articles covering advances in the search for exact solutions for differential equations. In this framework, nonlocal linearizing transformations and nonlocal symmetries will be discussed, as well as their relationships with classical symmetries, contact and generalized symmetries, hidden symmetries, solvable structures, λ-symmetries, μ-symmetries, adjoint symmetries, etc. All of these topics appear as extensions of Lie’s original work—the study of problems in mathematical physics in which symmetries of differential equations or difference equations play a fundamental role.

Potential topics include, but are not limited to, the following:

• Local and nonlocal linearization processes of differential equations
• Classical and generalized symmetries, λ-symmetries,  μ-symmetries, nonlocal symmetries, hidden symmetries, and adjoint symmetries
• Solvable structures
• Differential invariants
• Moving frames
• Equivalence transformations
• Prelle–Singer method
• Jacobi last multipliers
• Darboux polynomials
• Sundman transformations
• Geometric and analytical methods for solving differential equations in physics and applied mathematics
• …

The purpose of this Special Issue is to gather a collection of articles, combining theoretical and applied perspectives, reflecting the latest developments in the study of differential equations in which symmetries (of any type) and nonlocal linearizing transformations play a fundamental role.

Prof. Dr. Concepción Muriel
Guest Editor

Manuscript Submission Information

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• Nonlocal linearizing transformations
• Nonlocal symmetries
• λ-symmetries
• Solvable structures