ABSTRACT
Nonlinear wave with amplitude less than unity is called small amplitude nonlinear wave. If there is no restriction on amplitude of the nonlinear waves, then the waves are known as arbitrary amplitude waves. There are different kinds of arbitrary amplitude nonlinear waves in plasmas, for example, arbitrary amplitude ion-acoustic wave, arbitrary amplitude dust-ion-acoustic wave, arbitrary amplitude dust-acoustic wave, arbitrary amplitude electron-acoustic wave, etc.
This chapter discusses bifurcation behavior of ion-acoustic waves with arbitrary amplitude in a two-component plasma consisting of cold mobile ions and Maxwell distributed electrons. Bifurcation of dust-ion-acoustic waves with arbitrary amplitude is also studied in a three-component unmagnetized plasma comprising of cold inertial ions, negatively charged stationary dust and non-inertial q-nonextensive electrons. Bifurcation behavior of dust-acoustic waves with arbitrary amplitude is also presented in a three-component unmagnetized plasma comprising of negatively charged inertial dust particles, k-distributed electrons and ions. Furthermore, bifurcation behavior of electron-acoustic waves is also discussed in a homogeneous, unmagnetized plasma consisting of a cold electron fluid, q-nonextensive hot electrons and stationary ions.
