A01=P.L. Sachdev
advanced differential equations
Arbitrary
Asymptotic Solution
Author_P.L. Sachdev
Burgers Equation
Category=PBKJ
Category=PBW
Category=PBWH
Category=PHDF
Category=PHU
Closed Form Exact Solutions
Cole
Constants
Converging Shock Wave
eq_bestseller
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
eq_non-fiction
eq_science
Exact
Exact Linearisation
Exact Similarity Solutions
fluid mechanics
Gasdynamic Equations
graduate level mathematics
hodograph methods
Hodograph Transformations
Hopf
Hopf Cole Transformation
Intermediate Asymptotics
Large Time Behaviour
Large Time Solution
Larger Family
Lie Group Methods
Linear PDE
mathematical physics
Nonlinear
nonlinear analysis
Nonlinear Diffusion Problems
nonlinear partial differential equation solutions
nonlinear partial differential equations
Nonlinear PDEs
numerical modeling techniques
Ordinary Differential Equations
PDE System
Pdes
Precise Numerical Solution
Self-similar Solution
Shock Layer
Shock Trajectory
similarity methods
Solutions
Standard Heat Equation
Travelling
Travelling Wave Solutions
Wave
Product details
- ISBN 9780367455484
- Weight: 610g
- Dimensions: 156 x 234mm
- Publication Date: 18 Dec 2020
- Publisher: Taylor & Francis Ltd
- Publication City/Country: GB
- Product Form: Paperback
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Nonlinearity plays a major role in the understanding of most physical, chemical, biological, and engineering sciences.
Nonlinear problems fascinate scientists and engineers, but often elude exact treatment. However elusive they may be, the solutions do exist-if only one perseveres in seeking them out.
Self-Similarity and Beyond presents a myriad of approaches to finding exact solutions for a diversity of nonlinear problems. These include group-theoretic methods, the direct method of Clarkson and Kruskal, traveling waves, hodograph methods, balancing arguments, embedding special solutions into a more general class, and the infinite series approach.
The author's approach is entirely constructive. Numerical solutions either motivate the analysis or confirm it, therefore they are treated alongside the analysis whenever possible. Many examples drawn from real physical situations-primarily fluid mechanics and nonlinear diffusion-illustrate and emphasize the central points presented.
Accessible to a broad base of readers, Self-Similarity and Beyond illuminates a variety of productive methods for meeting the challenges of nonlinearity. Researchers and graduate students in nonlinearity, partial differential equations, and fluid mechanics, along with mathematical physicists and numerical analysts, will re-discover the importance of exact solutions and find valuable additions to their mathematical toolkits.
Sachdev, P.L.
