Dark optical solitons with power law nonlinearity using G′/G-expansion

Diverse Soliton Structures of the ( 2 + 1 )-Dimensional Nonlinear Electrical Transmission Line Equation

“…The study of their soliton solutions is of great significance since they can make us more deeply understand the natural phenomena and their internal relations. So far, there are many effective methods available for constructing the soliton solutions such as the exp-function method [1][2][3][4], tanh-function method [5][6][7][8][9], (G′/G)-expansion method [10][11][12], F-expansion method [13,14], extended rational sine-cosine and sinh-cosh methods [15][16][17][18], Sardar-subequation method [19][20][21], and Sine-Gordon expansion method [22,23] [ [24][25][26][27][28][29][30][31]. In the current work, we aim to study the (2 + 1)-dimensional NETLE, which is expressed by [32] ∂ 2 ∂t 2 u − αu 2…”

The Influence of Noise on the Exact Solutions of the Stochastic Fractional-Space Chiral Nonlinear Schrödinger Equation

“…It produces chiral solitons, which play a significant role in the quantum-hall effect. Recently, many authors addressed Equation (1) with α = 1 and ρ = 0, such as Nishino et al [17] Bulut et al [18], Rezazadeh et al [19], Javid and Raza [20], Eslami [21], Biswas et al [22], Cheemaa et al [23], Alshahrani et al [24], Sulaiman et al [25] and Rehman et al [26], while Mohammed et al [27,28] studied Equation (1) in one space dimension and two space dimensions, with stochastic term and α = 1.…”

On the nonlinear new wave solutions in unstable dispersive environments

“…No one can relegate that partial differential nonlinear integrable evolution equations (PDNIES) are widespread in nature scientific phenomena in physics and fluid dynamics [1][2][3][4][5][6][7][8][9]. A comparison of theoretical and computational analysis with the observations and prediction studies for physical environments suggests that it is indispensable to inspect some physical properties as particle temperature, impurities, obliqueness, viscosity and nonlinear damping on the soliton envelopes that propagate in the studied medium [10][11][12].…”