This book represents the first asymptotic analysis, via completely integrable techniques, of the initial value problem for the focusing nonlinear Schrodinger equation in the semiclassical asymptotic regime. This problem is a key model in nonlinear optical physics and has increasingly important applications in the telecommunications industry. The authors exploit complete integrability to establish pointwise asymptotics for this problem's solution in the semiclassical regime and explicit integration for the underlying nonlinear, elliptic, partial differential equations suspected of governing...
This book represents the first asymptotic analysis, via completely integrable techniques, of the initial value problem for the focusing nonlinear S...
A survey of asymptotic methods set in the applied research context of wave propagation. It stresses rigorous analysis in addition to formal manipulations. It is suitable for a beginning graduate course on asymptotic analysis in applied mathematics and is a
A survey of asymptotic methods set in the applied research context of wave propagation. It stresses rigorous analysis in addition to formal manipulati...
When Clyde Eddy first saw the Colorado River in 1919, he vowed that he would someday travel its length. Eight years later, Eddy recruited a handful of college students to serve as crewmen and loaded them, a hobo, a mongrel dog, a bear cub, and a heavy motion picture camera into three mahogany boats and left Green River, Utah, headed for Needles, California. Forty-two days and eight hundred miles later, they were the first to successfully navigate the river during its annual high water period. This book is the original narrative of that foolhardy and thrilling adventure.
""The point...
When Clyde Eddy first saw the Colorado River in 1919, he vowed that he would someday travel its length. Eight years later, Eddy recruited a handful...