Asymptotic Expansions Of Solutions Of Initial Boundary Value Problems For A Dispersive Hyperbolic Equation
asymptotic expansionsdispersive hyperbolic equationsinitial boundary value problemsPDE solutionsmathematical analysis
This document explores the development and application of asymptotic expansions to derive solutions for initial boundary value problems that arise in the context of dispersive hyperbolic equations. This critical mathematical analysis provides deep insights into the behavior of complex physical systems, especially regarding wave propagation and long-term dynamics governed by these advanced partial differential equations.