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The Boussinesq equation is the first model of surface waves in shallow water that considers the nonlinearity and the dispersion and their interaction as a reason for wave stability known as the Boussinesq paradigm. This balance bears solitary waves that behave like quasi-particles. At present, there are some Boussinesq-like equations. The prevalent part of the known analytical and numerical solutions, however, relates to the 1d case while for multidimensional cases, almost nothing is known so far. An exclusion is the solutions of the Kadomtsev-Petviashvili equation. The difficulties originate from the lack of known analytic initial conditions and the nonintegrability in the multidimensional case. Another problem is which kind of nonlinearity will keep the temporal stability of localized solutions. The system of coupled nonlinear Schroedinger equations known as well as the vector Schroedinger equation is a soliton supporting dynamical system. It is considered as a model of light propagation in Kerr isotropic media. Along with that, the phenomenology of the equation opens a prospect of investigating the quasi-particle behavior of the interacting solitons. The initial polarization of the vector Schroedinger equation and its evolution evolves from the vector nature of the model. The existence of exact (analytical) solutions usually is rendered to simpler models, while for the vector Schroedinger equation such solutions are not known. This determines the role of the numerical schemes and approaches. The vector Schroedinger equation is a spring-board for combining the reduced integrability and conservation laws in a discrete level. The experimental observation and measurement of ultrashort pulses in waveguides is a hard job and this is the reason and stimulus to create mathematical models for computer simulations, as well as reliable algorithms for treating the governing equations. Along with the nonintegrability, one more problem appears here – the multidimensionality and necessity to split and linearize the operators in the appropriate way.

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Inspiring lessons on business and life from Frank Savage Frank Savage's is an unlikely success story. Raised in segregated Washington, DC, by his mother, a hairdresser and entrepreneur with little formal education, Savage's career has taken him around the world as a globetrotting financier. From his first banking job at Citibank to his current position as Chairman Emeritus of Howard University, The Savage Way shares the life and business lessons he learned along the way. This memoir relates the many starts and stops, successes and failures in his long career, from his involvement in the collapse of Enron, to his experience investing in Africa, to his days as a competitive yachtsman—always guided by the wisdom of the mother who taught him to transcend all limits. A powerful memoir of an inspiring business leader Savage is the current Chairman of his alma mater, Howard University, and the CEO of the global financial services company Savage Holdings LLC A rare and inspiring story of personal and professional challenge and ultimate triumph, The Savage Way is a memoir that offers powerful inspiration and wisdom for tomorrow's business leaders.

This is not your typical business book. You won't find academic remedies to your business challenges or exhortations to create a warmer and fuzzier workplace. In fact, you'll find the opposite-tips on how to be a tougher, take-no-prisoners-style manager. It's time to stop letting workplace political correctness push you around and get serious about your business. In If You Don't Make Waves, You'll Drown, Dave Anderson doesn't pull any punches. Offering simple wisdom and politically incorrect solutions that really work, he's not here to inspire you, but to taunt you into action. He shows you how to be more direct without being disrespectful; how to give honest feedback even when it hurts; and how to hold employees accountable for results. In short, you'll learn how to get the most out of your business. Want more politically incorrect wisdom? Tenure is a license for laziness Diversity without competence is worthless Don't trade your values for valuables Political correctness is a disease that destroys the workplace It's time to fight back!

An illustrated business fable that gives you the faith, courage and confidence to win in today's tough economic climate Fear and uncertainty are staples of daily life in today's struggling economy. As bad as things can be, economic downturns also lead to new opportunities. It's easy to worry, give up and let fear paralyze you. However, you have more control than you think you do and how you handle adversity is your choice-and the only choice that matters. In fact, study history and you'll find that a lot of people and organizations made a name for themselves and grew their businesses during recessions and downturns. These successful people and organizations all shared similar characteristics and took similar actions to thrive while others merely tried to survive. You can do the same. In The Shark and the Goldfish, Jon Gordon shares an inspiring fable about Gordy, a pampered goldfish who gets swept out to sea. Desperate for food, Gordy meets a kind shark who teaches him the ultimate lesson-Goldfish wait to be fed. Sharks go find food. Gordy also learns that the difference between a full and empty stomach is our faith, beliefs and actions. In the face of adversity and lean times, this is a business fable that reinforces a proven truth: You can't control the events in your life. But you can control how you respond and in turn this determines the outcome. A business fable that teaches valuable lessons on the importance of working hard, maintaining a locus of control and focusing on positive choices instead of negative voices, Written by Jon Gordon, bestselling author of The Energy Bus and The No Complaining Rule Reveals how change is inevitable-but that you can make it your friend or foe. Provides an action plan filled with tips and strategies to thrive during change and adversity If you're facing tough economic times, The Shark and the Goldfish will motivate you, inspire you, and give you the confidence you need to thrive during changing times.

Starting with an introduction to the fundamental physics in chaotic instabilities in laser systems, this comprehensive and unified reference goes on to present the techniques and technology of synchronization of chaos in coupled lasers, as well as the many applications to lasers and optics, communications, security and information technology. Throughout, it presents the current state of knowledge, including encoding/decoding techniques, performance of chaotic communication systems, random number generation, and novel communication technologies.