Chirped solitons in discrete electrical transmission line

New Solitary Wave Solutions for Variants of (3+1)-Dimensional Wazwaz-Benjamin-Bona-Mahony Equations

“…The solutions of (5) corresponding to (28), along with solution (10) are Case I: If c−λ k 2 c > 0 and ρ = 0 then…”

“…Exact solutions produce corporal information to describe the physical behavior of system connected with these NLEs. In recent years, several efficient methods including method of extended tanh [1,2], tanh-coth [3,4], Hirota's direct [5,6], sine-cosine [7,8], extended direct algebraic [9,10], extended trial approach [11,12], Exp [-ϕ(ξ)]-Expansion [13,14], a new auxiliary equation [15,16], Jacobi elliptic ansatz [17,18], generalized Bernoulli sub-ODE [19,20], functional variable [21,22], sub equation [23,24], and so on [25][26][27][28][29][30][31][32][33][34][35][36][37][38][39], have been established for efficient solutions of NLEs.…”

New shape of the chirped bright, dark optical solitons and complex solutions for (2+1) Ginzburg-Landau equation

“…From this, many results in theoretical and experimentally have been followed with the mathematical tools to handle them [10,35,36]. These analytical methods facilitated the success of these results are among others, the Sine-Gordon expansion method, the modifie exp(−ψ(ξ))expansion function method,(G'/G)-expansion scheme, the trial expansion method, the new mapping method, the auxiliary equation method, the rational function method, and the Riccati-Bernoulli sub-ODE method [25][26][27][28][29][30][35][36][37][38][39][40][41][42][43][44][45]. In this present work, an investigation will be carried out in order to formulate new shape of the chirped soliton solutions to the famous (2+1)-dimensional complex Ginzburg-Landau equation (GLE), of which skeletal structure is as follows [29][30][31][32][33]:…”

New optical explicit plethora of the resonant Schrodinger’s equation via two recent computational schemes

“…Marvellous applications in the field of science and engineering have been formulating in non-linear PDE with an-integer order or fractional order [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15]. Thus, many researchers in different fields have been focusing on studying the exact travelling and solitary wave solutions.…”

“…These solutions are used to discover more physical, dynamical behaviour, and the nature of non-linear problems and explain the different scientific non-linear phenomena. For achieving to this fundamental goal, many computational and numerical schemes have been being formulated such as the improved and novel expansion method [1][2][3], extended simplest equation method [4][5][6][7], first integral method [8,9], Khater method which is derived by Khater in 2017 [10][11][12][13], the exp -expansion method [14,15], the Kudryashov method [16], the Jacobi elliptic functions [17,18], the modified Khater method, [19][20][21][22], the generalized Kudryashov method [23,24], the new extended direct algebraic method [25], the functional variable method [26], Adomian decomposition method [27][28][29], and the sub equation method [30].…”