Coexisting wave features and various nonlinear waves for Schrödinger equation in superthermal dusty plasma

Abstract

Coexistence of dust-acoustic wave (DAW) features and their properties are studied in a four-component dusty plasma constituting superthermal plasma particles in the framework of nonlinear Schrodinger equation (NLSE). Dynamical behaviors of the system are first explored by phase portraits and then the solutions corresponding to phase trajectories are explained analytically as well as numerically with physical perceptions. Introducing a periodic force, the system is analyzed for the existence of multi-periodic, quasiperiodic, and chaotic motions. Results of this work can be useful to understand the wave phenomena in the interstellar medium where superthermally distributed plasma particles are recognized.

Dynamical Behaviour of Conformable Time-Fractional Coupled Konno-Oono Equation in Magnetic Field

“…e integration of Eq. ( 16) requires appropriate domains of the constants C, a, ω, and h. e domains of these constants can be found by applying distinct methods such as a complete discriminant method [60] for the quartic polynomial −ψ 4 + 2Cψ 2 + 2a 2 ω 2 h and bifurcation analysis [39][40][41][42][43][44][45][46][47][48]. e bifurcation analysis is more significant because it gives the range of those parameters and specifies the kind of the solution before constructing them.…”

“…In this work, we study the existence and the type of some novel traveling wave solutions for (2) by the qualitative theory of planar dynamical system which has been applied successfully in various works such as [39][40][41][42][43][44][45][46][47][48] before constructing them through the kind of the orbits. For instance, the existence of periodic, homoclinic, and heteroclinic orbits imply to the existence of periodic, solitary, and kink (or antikink) wave solutions.…”