Coupon
Nonlinear Waves : An Introduction
by Petar Radoev Popivanov and Angela Slavova


Overview - This book deals with equations of mathematical physics as the different modifications of the KdV equation, the Camassa-Holm type equations, several modifications of Burger's equation, the Hunter-Saxton equation and others. The equations originate from physics but are proposed here for their investigation via purely mathematical methods in the frames of university courses.  Read more...

 
Hardcover
  • $72.00

Add to Cart + Add to Wishlist

In Stock Online.

FREE Shipping for Club Members
 
> Check In-Store Availability

In-Store pricing may vary

 
 
New & Used Marketplace 8 copies from $61.95
 
 
 

More About Nonlinear Waves by Petar Radoev Popivanov; Angela Slavova
 
 
 
Overview
This book deals with equations of mathematical physics as the different modifications of the KdV equation, the Camassa-Holm type equations, several modifications of Burger's equation, the Hunter-Saxton equation and others. The equations originate from physics but are proposed here for their investigation via purely mathematical methods in the frames of university courses. More precisely, the authors propose classification theorems for the traveling wave solutions for a sufficiently large class of third order nonlinear PDE when the corresponding profiles develop different kind of singularities (cusps, peaks). The orbital stability of the periodic solutions of traveling type for mKdV equations are also studied. Of great interest too is the interaction of peakon type solutions of the Camassa-Holm equation and the solvability of the classical and generalized Cauchy problem for the Hunter-Saxton equation. The Riemann problem for special systems of conservation laws and the corresponding d-shocks are also considered. At the end of the book the authors study the interaction of two piecewise smooth waves in the case of two space variables and they verify the appearance of logarithmic singularities. As it concerns numerical methods in the case of periodic waves the authors apply Cellular Neural Network (CNN) approach.

 
Details
  • ISBN-13: 9789814322126
  • ISBN-10: 9814322121
  • Publisher: World Scientific Publishing Company
  • Publish Date: September 2010
  • Page Count: 168
  • Dimensions: 9 x 6 x 0.7 inches
  • Shipping Weight: 1 pounds

Series: Series on Analysis #1

Related Categories

Books > Mathematics > Differential Equations - General
Books > Science > Physics - Mathematical & Computational
Books > Science > Mechanics - General

 
BAM Customer Reviews