Nonlinear partial differential equations (NLPDEs) are widespread in science and engineering. They assist in solving many problems, as well as model many things surrounding us.
This textbook presents the fundamentals of NLPDE with problem-solving examples. It covers the Burgers equation and KdV equation, among other (nonlinear) PDEs, and concisely discusses the methods for solving these NLPDEs. The last chapter provides solutions to the different exercises covered in the previous six chapters. I appreciate this because some textbooks do not include the solutions.
The book’s content looks at first to be a collection of NLPDE formulae; therefore, a careful reading is necessary. Reading requires a paper and pencil to verify each formula. Many formulae are not detailed enough, so the reader needs to solve certain equations and verify the results provided by the author. I have verified most of the equations.
The author presents this book as “a second course,” which means readers are expected to have a background in NLPDEs. Nevertheless, the book is a brief reminder of what partial differential is and how to perform it. The same is valid for calculating integrals.
Despite some minor weaknesses, this excellent textbook is recommended for students in the fields of mathematics, computer science, data science, and so on.