The nonlinear theory of two-dimensional ion-acoustic (IA) solitary waves and shocks (SWS) is revisited in a dissipative quantum plasma. The effects of dispersion, caused by the charge separation of electrons and ions and the quantum force associated with the Bohm potential for degenerate...

Brownian motors subject to a travelling wave potential are discussed. The Brownian motors move in the form of solitary waves. The solitary wave of the Brownian motor is evaluated analytically. Two expressions for the efficiency of Brownian motors are distinguished, one for generating force and...

In this paper, we investigate in detail the interactions of solitary waves in lattice systems with interaction potential V(q)=qn/n, where n is 4,6,8…, through their all possible collision types, and establish a quantitative connection between the scattering property of solitary waves and the...

In this paper, the compound Burgers–Korteweg–de Vries equation is studied by the first integral method, which is based on ring theory in commutative algebra. Several new kink-profile waves and periodic waves are established. The applications of these results to other nonlinear wave equations...