This book brings together several aspects of soliton theory currently available only in research papers. Emphasis is given to the multi-dimensional problems which arise and includes inverse scattering in multi-dimensions, integrable nonlinear evolution equations in multi-dimensions and the dbar method.
This book will be a valuable addition to the growing literature in the area and essential reading for all researchers in the field of soliton theory.
This book will be a valuable addition to the growing literature in the area and essential reading for all researchers in the field of soliton theory.
The focus of this volume is to show how the various successful models of nuclear structure complement one another and can be realised as approximations, appropriate in different situations, to an underlying non-relativistic many-nucleon ...
A study, by two of the major contributors to the theory, of the inverse scattering transform and its application to problems of nonlinear dispersive waves that arise in fluid dynamics, plasma physics, nonlinear optics, particle physics, ...
This book shows that the physical phenomena and processes that take place in nature generally have complicated nonlinear features, which leads to nonlinear mathematical models for the real processes.
M. J. Ablowitz and P. A. Clarkson , Solitons , nonlinear evolution equations and inverse scattering ( Cambridge University Press , Cambridge , 1991 ) . 2. M. J. Ablowitz , D. J. Kaup , A. C. Newell and H. Segur , The inverse scattering ...
Symmetries and Bi-Hamiltonian Structures of 2 + 1 Dimensional Systems -- Exactly Solvable Multidimensional Nonlinear Equations and Inverse Scattering -- On the Inverse Scattering Transform for the n-dimensional Schrödinger Operator -- ...
This timely book reviews how South Asia is rising to the challenge of globalization. In particular, how are South Asian countries maximizing the benefits of globalization whilst minimizing its costs?
For all t, u(x,t) e D(–A+ m”), u(x, 0) = f(x), u(x, 0) = g(x), which satisfies un-Au + mou = -Alufu. (10.4.10) For all t, the map (f,g) — (u(x,t), ut(x, t)) is continuous. Proof. By Lemma 104.3 and Lemma 10.4.4, we know that J satisfies ...
This book fills that gap; 2. The book is easy to be understood by readers since it provides step-by-step approaches. All results in the book have been deduced and collated by the author to make sure that they are correct and perfect; 3.