Self-Similarity and Beyond: Exact Solutions of Nonlinear Problems

Self-Similarity and Beyond: Exact Solutions of Nonlinear Problems

Editorial Reviews
Review
The main theme of this book is exact solutions to nonlinear partial differential equations and systematic methods for finding them. All techniques are demonstrated with plenty of worked-out examples, which are predominantly drawn from fluid mechanics, reaction-diffusion systems, and nonlinear diffusion…Throughout the book, notation is kept elementary, and the sections are largely independent of each other. This work will serve as a valuable reference for anybody working in applied mathematics and respective areas of application, as well as a source of nontrivial, yet elementary, examples of solutions to nonlinear partial differential equations for teaching purposes.
- Mathematical Reviews, Issue 2002

The methods and their limitations are clearly explained, and are complemented by a number of solved examples focusing on equations in fluid mechanics and nonlinear diffusion.
-European Mathematical Society Newsletter, No. 42, December 2001

Book Description
Nonlinearity plays a major role in the understanding of most physical, chemical, biological, and engineering sciences. This volume presents a myriad of approaches to finding exact solutions of a variety of nonlinear problems. The author's approach is entirely constructive. The presentation includes numerical solutions that motivate or confirm the methods developed and contains no abstract analysis, leading to a work that is readily accessible to a broad base of readers.

Self-Similarity and Beyond: Exact Solutions of Nonlinear Problems

Self-Similarity and Beyond: Exact Solutions of Nonlinear Problems,P.L. Sachdev,Chapman & Hall/CRC,1584882115,Applied,Differential Equations,Differential equations, Nonlin,Differential equations, Nonlinear,General,Mathematics,Numerical Solutions Of Differential Equations,Numerical solutions,Science/Mathematics,Mathematics / Differential Equations,Mathematics for scientists & engineers,Non-linear science,Numerical analysis

Books Info:

1. Simplicial Algorithms for Minimizing Polyhedral Functions
2. Software Computing Medthods in Human Sciences
3. Solution of Ordinary Differential Equations by Continuous Groups
4. State-Space Search : Algorithms, Complexity, Extensions, and Applications
5. Statistical Modelling with Quantile Functions
6. Stochastic Partial Differential Equations and Applications (Lecture Notes in Pure and Applied Mathematics)
7. Supersymmetry In Quantum and Classical Mechanics
8. Surveys on Solution Methods for Inverse Problems
9. Tensors and the Clifford Algebra (Pure and Applied Mathematics (Marcel Dekker))
10. The Algebraic Characterization of Geometric 4-Manifolds (London Mathematical Society Lecture Note Series)

Books Info

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