Exact solutions to nonlinear delay differential equations of hyperbolic type

[摘要] We consider nonlinear delay differential equations of hyperbolic type, including equations with varying transfer coefficients and varying delays. The equations contain one or two arbitrary functions of a single argument. We present new classes of exact generalized and functional separable solutions. All the solutions involve free parameters and can be suitable for solving certain model problems as well as testing numerical and approximate analytical methods for similar and more complex nonlinear differential-difference equations.

[发布机构] Moscow State University of Mechanical Engineering, 38 Bolshaya Semenovskaya Street, Moscow; 107023, Russia^1;Institute for Problems in Mechanics, Russian Academy of Sciences, 101 Vernadsky Avenue, bldg 1, Moscow; 119526, Russia^2;Bauman Moscow State Technical University, 5 Second Baumanskaya Street, Moscow; 105005, Russia^3

[效力级别] 数学

[关键词] Approximate analytical methods;Delay equations;Differential-difference equations;Exact solution;Nonlinear delay differential equation;Nonlinear differential-difference equation;Reaction diffusion equations;Transfer coefficient