In this work, radial basis function collocation method (RBFCM) is implemented for generalized time fractional Gardner equation (GTFGE). The RBFCM meshless and easy-to-implement in complex geometries higher dimensions, therefore, it highly demanding. the Caputo derivative of order ? (0, 1] used to approximate first whereas, Crank-Nicolson scheme hired space derivatives. numerical solutions are p...

Abstract. Nonlinear oceanic internal solitary waves are considered under the influence of combined effects saturating nonlinearity, Earth's rotation, and horizontal depth inhomogeneity. Here basic model is extended Korteweg–de Vries equation that includes both quadratic cubic nonlinearity (the Gardner equation) with additional terms incorporating slowly varying weak rotation. The complicated in...

A bstract The light-cone gauge approach to $$ T\overline{T} T ¯ deformed models is used derive the matrix nonlinear Schrödinger equation, Landau-Lifshitz and Gardner equation. Properties of one-soliton solutions Korteweg-de Vries equations are discussed in detail. NLS...