Meet the editors

Dr. İlkay Bakırtaş is working as a Professor of applied mathematics at the Istanbul Technical University (ITU), Department of Mathematics. She received her Ph.D. degree in Mechanics from ITU in 2003. She completed her postdoctoral studies at the University of Colorado at Boulder, USA. She has published 18 research papers in peer-reviewed journals in SCI, 4 book chapters, 21 conference proceedings in the fields of perturbation methods,

nonlinear wave propagation in arteries, optical solitons and wave collapse in optics and water waves problems. She is the editor of the book "Perturbation Methods with Applications in Science and Engineering" by IntechOpen. Dr. Bakırtaş is a member of the Scientific Committee of TUMTMK (Turkish National Committee of Theoretical and Applied Mechanics) and she was awarded "Dr. Serhat Ozyar, Young Scientist Of The Year Award" in 2004 and "Best Ph.D. Dissertation Award" by TUMTMK in 2003.

Dr. Nalan Antar is working as a Professor of applied mathematics for the Istanbul Technical University, Department of Mathematical Engineering. She received her Ph.D. degree in mechanics from the Istanbul Technical University in 1999. She has completed her post-doctoral studies at the University of Alberta, Department of Mathematics and Statistics, Canada and later she participated in academic research projects at the University of

Colorado at Boulder, USA. She has published 32 research papers in peer-reviewed journals in SCI, 13 conference proceedings in the fields of nonlinear wave propagation in arteries, optical solitons in nonlinear optics and water waves problems, in particular gravity currents. She has been the supervisor of many graduate students in applied mathematics. Dr. Antar is a member of the Scientific Committee of TUMTMK (Turkish National Committee of Theoretical and Applied Mechanics).

Contents

**Preface XI**

**Chapter 1 1**

**Chapter 2 23**

**Chapter 3 61**

**Chapter 4 99**

**Chapter 5 113**

**Chapter 6 137**

**Chapter 7 149**

**Chapter 8 163**

*by Georgios N. Koutsokostas, Theodoros P. Horikis, Dimitrios J. Frantzeskakis,* 

Soliton and Rogue-Wave Solutions of Derivative Nonlinear Schrödinger

Soliton and Rogue-Wave Solutions of Derivative Nonlinear Schrödinger

Q-Switched 2 Micron Solid-State Lasers and Their Applications *by Kejian Yang, Yaling Yang, Jingliang He and Shengzhi Zhao*

Thermal Fields in Laser Cladding Processing: A "Fire Ball" Model. A Theoretical Computational Comparison, Laser Cladding versus

*by Mihai Oane, Ion N. Mihăilescu and Carmen-Georgeta Ristoscu*

Digital Sorting of Optical Vortices in Perturbed Singular Beams *by Alexander Volyar, Mikhail Bretsko, Yana Akimova and Yuriy Egorov*

Optical Sensor for Nonlinear and Quantum Optical Effects

Water Waves and Light: Two Unlikely Partners

*Nalan Antar and İlkay Bakırtaş*

Magnetic Solitons in Optical Lattice

Equation - Part 1 *by Zhou Guo-Quan*

Equation - Part 2 *by Zhou Guo-Quan*

*by Xing-Dong Zhao*

Electron Beam Cladding

*by Antônio Carlos Amaro de Faria*

## Contents



Preface

With this book, we aim to bring the recent advances in nonlinear optics to the attention of the scientific community and present the reader with the bright

The eleven selected chapters in the book are authored by twenty-eight authors from ten different countries: Greece, Turkey, China, Romania, Brazil, Russia, India,

Each chapter in this book is independent and self-contained, providing a contemporary overview of the methodology and approach used in theoretical and applied sciences. The reference list at the end of each chapter provides the reader with a

In the first chapter, the two-dimensional nonlocal nonlinear Schrödinger model is studied and the connection between water waves and nonlinear optics is discussed.

In the second and third chapters, the derivative nonlinear Schrödinger equation (DNLS) with vanishing boundary conditions is studied using a novel approach in inverse scattering transform (IST). Based upon this new inverse scattering transform method, different kinds of soliton solutions such as the light/dark soliton, the pure soliton, and the mixed breather type are found for the derivative nonlinear

selected list of journal papers, books, and conference proceedings.

Schrödinger equation with non-vanishing boundary conditions.

In the fourth chapter, the existence of magnetic solitons in atomic spinor Bose-Einstein condensates confined in an optical lattice are demonstrated.

In the sixth chapter, the laser cladding process is reported by proposing a semi-analytical model. The cladding process for different input powers and

The fifth chapter reviews the development of the Q-switched solid-state lasers, which are obtained using flash and diode pumping schemes based on active and

In the seventh chapter, the main foundations for the conception, design, and the projection of optical sensors that explore the effects of nonlinear and quantum

In the eighth chapter, the digital sorting technique of vortex spectra is constructed. A new approach for measuring vortex spectra based on digital analyzing high-order

In the ninth chapter, the main foundations of optical switches are reviewed and the design and fabrication of nonlinear optical switches are discussed from different

spectrum of optics at the frontiers of research.

The chapters can be summarized as follows:

Cameroon, Germany, and Italy.

passive Q-switchers.

optics are presented.

various laser beam velocities is studied.

aspects of the current technology.

intensity moments of complex beams is introduced.
