A Note on Self-Accelerating Olver and Olver-Gauss Beams

Olver Problem Set 3 Solutions

Olver Problem Set 5 Solutions

Problem 2. [15 points] In ”Die Hard: The Afterlife”, the ghosts of Bruce and Sam have been sent by the evil Simon on another mission to save midtown Manhattan. They have been told that there is a bomb on a street corner that lies in Midtown Manhattan, which Simon defines as extending from 41st Street to 59th Street and from 3rd Avenue to 9th Avenue. Additionally, the code that they need to defu...

Incoherent self-accelerating beams

YAAKOV LUMER, YI LIANG, RAN SCHLEY, IDO KAMINER, ELAD GREENFIELD, DAOHONG SONG, XINZHENG ZHANG, JINGJUN XU, ZHIGANG CHEN, AND MORDECHAI SEGEV* Physics Department, Technion–Israel Institute of Technology, Haifa 32000, Israel MOE Key Laboratory of Weak-Light Nonlinear Photonics, TEDA Applied Physics Institute & School of Physics, Nankai University, Tianjin 300457, China College of Physics Science...

Exact Solutions to a Generalized Sharma–Tasso–Olver Equation

We apply the Cole–Hopf transformation to linearize the forced Sharma– Tasso–Olver (STO) equation in order to obtain some its exact solutions. Many kinds of solutions are formally derived for the unforced version. Mathematics Subject Classification: 35C05

Self-accelerating self-trapped optical beams.

We present self-accelerating self-trapped beams in nonlinear optical media, exhibiting self-focusing and self-defocusing Kerr and saturable nonlinearities, as well as a quadratic response. In Kerr and saturable media such beams are stable under self-defocusing and weak self-focusing, whereas for strong self-focusing the beams off-shoot solitons while their main lobe continues to accelerate. Sel...