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math-ph2019
Nonlinear eigenvalue problems for generalized Painlevé equations
Carl M. Bender, Javad Komijani, Qing-hai Wang
Eigenvalue problems for linear differential equations, such as time-independent Schrödinger equations, can be generalized to eigenvalue problems for nonlinear differential equation…
math-ph2015
Painleve Transcendents and PT-Symmetric Hamiltonians
Carl M. Bender, Javad Komijani
Unstable separatrix solutions for the first and second Painlevé transcendents are studied both numerically and analytically. For a fixed initial condition, say , there is a…