Journal of the Korean Physical Society, Vol. 76, No. 6, March 2020, pp. 469∼478 Analytical and Simulation Studies of Forced KdV Solitary Structures in a Two-Component Plasma Swarniv Chandra * Department of Physics, Government General Degree College at Kushmandi, Dakshin Dinajpur 733121, India Jyotirmoy Goswami and Jit Sarkar Department of Physics, Jadavpur University, Kolkata 700032, India Chinmay Das Department of Mathematics, Government General Degree College at Kushmandi, Dakshin Dinajpur 733121, India (Received 19 August 2019; revised 7 October 2019; accepted 21 October 2019) In this paper, we discuss the time evolution of a forced KdV equation by using a standard reductive perturbation technique. Using conservation laws, we derive the time evolution a KdV equation with an external force. Further, we make use of our newly designed method of flux correction along with the predictor-corrector scheme to study the growth of field quantities with time over a spatial span. The results obtained by using our new technique agree perfectly with the findings from the standard reductive perturbation technique. Our method will find quick acceptance in dealing with nonlinear plasma phenomena. Once we set up the basic equations, we can feed them into our scheme, and the results will automatically follow. We can even check the dependence of different waveforms as the initial and the boundary conditions. PACS numbers: 52.20 -j, 52.25 -b, 52.30 -d, 52.35 Mw, 52.65 Vv Keywords: Forced KdV, Electrostatic Waves, Reduction-Perturbation-Technique, Predictor-Corrector model DOI: 10.3938/jkps.76.469 I. INTRODUCTION Studies in space plasmas, as well as laboratory plas- mas, reveal that a number of nonlinear wave modes are generated under various compositions and configu- rations. Among them are the often investigated elec- tron acoustic (EA) waves, ion acoustic (IA) waves, dust acoustic (DA) waves and electron plasma (EP) waves, as well as wave modes in the presence of magnetic fields and streaming motions. Often plasmas are categorized broadly to fall either in the classical regime or the quan- tum regime. Accordingly, the Vlasov or the Wigner for- mulation is used. The methodology to study the complex plasma behavior is either the fluid model or the particle model (also known as the kinetic model). Now, we know from our basic knowledge of plasma physics that the non- linear and dissipative actions primarily give rise to the nonlinear structures in plasma waves. Solitary waves are steady structures that propagate with a velocity with undiminished wave amplitude and width. Such solitary wave structures that do not change their form even after a collision with another similar * E-mail: swarniv147@gmail.com structure are called solitons. Now, if the solitary struc- tures or solitons experience forces from external sources, which may be constant or periodic or any other type in nature, the solitons’ amplitude and width evolve over time. The mathematical tool that is often used to deal such kind of nonlinear phenomenon is the perturbation technique. In the nineteenth century two Dutchmen, Ko- rteweg and de Vries, came up with this kind of equation, which is commonly known as the Korteweg de Vries equa- tion, which defines the temporal and spatial evolution of such a solitary waveform [1]. In plasma physics however, nonlinearities have extra importance as plasma particles behave in a non-linear fashion with one other and with the system as a whole. A survey of available literature will show that the reduc- tive perturbation technique is often used to analytically derive the solitary wave equation. In 1977, a weakly damped electron acoustic wave with nonlinear features different from Langmuir and ion-acoustic waves was shown by Watanabe and Taniuti [2] Hellberg et al. [3] also examined and studied similar high-frequency elec- trostatic waves. Polar studies in plasma physics showed stabilities in certain wave modes [4]. Large amplitude solitary waves at edges of the AKR (Auroral Kilomet- pISSN:0374-4884/eISSN:1976-8524 -469- c 2020 The Korean Physical Society