Thus, this is an example of using the method of matched asymptotic expansions to satisfy the given initial condition by the long-distance approximation of the solution to a nonsingular partial ...

Boundary value problems (BVPs) and partial differential equations (PDEs) are critical components of modern applied mathematics, underpinning the theoretical and practical analyses of complex systems.

Specifically, the latter system is decoupled into two subsystems, also initial value problems, one of them defined in the orbit space associated with the reduction and the other linear in its ...