Strong Langmuir turbulence dynamics through the trigonometric quintic and exponential B-spline schemes

Soliton: A dispersion-less solution with existence and its types

“…Another equation describing solitons and solitary-wave solutions for the study of plasma physics is the KP equation, variants of KdV and the KP equation. In addition, the soliton in plasma is studied in various contexts, e.g., to discuss the interaction of solitons in collisionless plasma [ 6 ], in Langmuir wave collapse for plasma [ 34 ], in the study of soliton stability in plasma and hydrodynamics [ 35 ], and in ionic-acoustic solitons in plasma [ 36 , 37 ] etc. Benjamin–Bona–Mahony (BBM) [ 38 ] is considered as an improvement of the KdV equation and used to describe the properties of the long surface gravity wave, acoustic-gravity waves in compressible fluids, hydromagnetic waves in a cold plasma, and acoustic waves in an harmonic crystals.…”

Efficient Numerical Scheme for the Solution of HIV Infection CD4+ T-Cells Using Haar Wavelet Technique

“…They also found the solutions of quadratic cubic fractional nonlinear Schrodinger equation by Adomian decomposition process [28]. Khater et al [29] used the trigonometric quintic and exponential cubic B-spline schemes for the solutions of the nonlinear Klein-Gordon-Zakharov model. Yue et al [30] found a solution of the fractional nonlinear Hirota-Satsuma-Shallow water wave equation by using a modified Kudryashov method.…”

General solution and generalized Hyers-Ulam stability for additive functional equations

“…Subsequently, Hyers result was generalized by Aoki [2] for additive mappings and by Rassias [37] for linear mappings to consider the problem with the unbounded Cauchy differences. The stability problems of functional equations have been extensively investigated by [1,4,6,[9][10][11][12][13][14][15][16][17][18][19][20].…”