Nonlinear Waves in Integrable and Nonintegrable Systems presents cutting-edge developments in the theory and experiments of nonlinear waves. Its comprehensive coverage of analytical and numerical methods for nonintegrable systems is the first of its kind. This book is intended for researchers and graduate students working in applied mathematics and various physical subjects where nonlinear wave phenomena arise (such as nonlinear optics, Bose-Einstein condensates, and fluid dynamics).
Presents cutting-edge developments in the theory and experiments of nonlinear waves. Its comprehensive coverage of analytical and numerical methods for nonintegrable systems is the first of its kind.
The outcome of a conference held in East Carolina University in June 1982, this book provides an account of developments in the theory and application of nonlinear waves in both fluids and plasmas.
This book deals with aspects of the nonlinear dynamics of deformable ordered solids (known as elastic crystals) where the nonlinear effects combine or compete with each other.
Covering both classical and quantum models, nonlinear integrable systems are of considerable theoretical and practical interest, with applications over a wide range of topics, including water waves, pin models, nonlinear optics, correlated ...
This book addresses modern nonlinear programming (NLP) concepts and algorithms, especially as they apply to challenging applications in chemical process engineering.
... system If the interaction is ( r ) = ( a / b ) ebr + ar , the lattice ( 1 ) becomes the exponential lattice , which is integrable . But , if we take the continuum approximation , the lattice becomes non - integrable . If we further take ...
in Linear and Nonlinear Systems M.I Rabinovich, D.I. Trubetskov. occurring in a limited region of space ) guarantees ... integrable and nonintegrable systems and they correspond to coherent formations or spatial structures . Examples of ...
... waves in distributed systems are usually divided into integrable by the inverse scattering problem and non ... nonlinear waves in plasma, in a liquid with gas bubbles, as well as with electromagnetic waves (Ostrovsky et al. 1972; Lonngren ...
... A.I., Dolgaya, A.A.: On wave and rheidity properties of the Earth's crust. Phys. Solid State 58(3), 561 (2016) 92. Kasahara, K.: Earthquake Mechanics. Cambridge University Press, Cambridge (1981) 93. Maslov, L.A.: Geodynamics of the ...
A discussion of the soliton, focusing on the properties that make it physically ubiquitous and the soliton equation mathematically miraculous.