1 Department of Mathematics, Faculty of Science, King Abdul Aziz University, Jeddah, KSA. 2 Department of Mathematics, Faculty of Science, King Khalid University, Abha, KSA. The V-FIE arises from ...
Department of Mathematics, Faculty of Education, Kassala University, Kassala, Sudan. The Equation (1.1) is called mass-critical or critical if, and it is called mass-supercritical and ...
This book charts a clear and systematic roadmap for nonlinear partial differential equations (NLPDES). Beginning from the definition of a partial differential equation to the recent developments of ...
We are constantly bombarded by nonlinear success stories: The Facebook-MillionsOfDownloads-Airbnb-10,000Followers-ExponentialGrowth-AcquiredFor$200M-Snapchat-Uber-Zilla is stomping through our tech ...
As we know, when light travels through nonlinear media, phenomena such as the Kerr effect alter the pulse evolution. To understand how light pulse propagation changes, we use the famous equation known ...
Simultaneous linear equations are used to model situations where two relationships must be satisfied at the same time. These problems often involve two interdependent variables, such as comparing ...