On traveling-wave solutions for the scaling-law telegraph equations
Xiao‐Jun Yang
Abstract
The aim of the study is to address the scaling-law telegraph equations with the Mandelbrot-scaling-law derivative. The traveling-wave solutions with use of the Kohlrausch-Williams-Watts function are considered in detail. The works are proposed to describe the physical models in complex topology.
Topics & Concepts
Traveling waveScalingScaling lawMandelbrot setTelegrapher's equationsDerivative (finance)Function (biology)Mathematical analysisPhysicsMathematicsStatistical physicsComputer scienceFractalGeometryTelecommunicationsBiologyEvolutionary biologyEconomicsTransmission lineFinancial economicsNonlinear Dynamics and Pattern FormationFractional Differential Equations SolutionsNonlinear Waves and Solitons