Dynamics of soliton solutions in the chiral nonlinear Schrödinger equations

RETRACTED ARTICLE: Existence results for the general Schrödinger equations with a superlinear Neumann boundary value problem

“…We refer to the surveys [1,8,14,15,23,27]. From a physical point of view, such Schrödinger equations with a superlinear Neumann boundary value problem have gained a lot of interest in recent years, in particular in the context of systems for the mean field dynamics of Bose-Einstein condensates [2,5] and in applications to fields like nonlinear and fibers optics [25].…”

On the wave solutions to the TRLW equation

“…Nonlinear evolution equations are often used to model various nonlinear complex physical aspects that arise in the various fields on nonlinear physical sciences, especially in physics plasma, biology and fluid mechanics and so on. Various analytical techniques have been used to explore search of several NLEEs [1][2][3][4][5][6][7][8][9][10][11].…”

Complex Acoustic Gravity Wave Behaviors to a Mathematical Model Arising in Nonlinear Mathematical Physics

“…Many aspects in nonlinear science such as mathematical physics, biological science, physics and chemistry and many more nonlinear phenomena can be explicited in the style of nonlinear partial differential equations (NPDEs). Of late years, different analytical techniques have been formulated and employed to search for some new solitary wave solutions like this models for instance the modified expansion function method [1], the generalized Kudryashov method [2], the extended homoclinic test function method [3], the simple equation method [4], the extended hyperbolic function method [5], the )-expansion method [6], the generalized tanh-function type method [7], the modified tanh-coth method [8], the generalized Bernoulli sub-equation function method [9] and many more powerful analytical methods [10][11][12][13][14][15][16][17][18][19][20][21].…”