Short-wavelength ion Bernstein nonlinear waves and solitons

Short-wavelength coherent structures of ion Bernstein modes are studied on the basis of a nonlinear equation taking into account the effect of high-frequencey diamagnetism. Analytical solutions in the form of nonlinear periodic waves and envelope solitons are found, and their properties are discussed. The appearance of such structures may explain some phenomena observed in laboratory and space plasmas.