With the advantages of fast calculating speed and high precision, the physics-informed
neural network method opens up a new approach for numerically solving nonlinear partial …

New periodic solutions for nonlinear evolution equations using Exp-function method - ScienceDirect
Skip to main contentSkip to article Elsevier logo Journals & Books Search RegisterSign in View …

In this paper, the (G'/G)-expansion method is extended to solve fractional partial differential
equations in the sense of modified Riemann—Liouville derivative. Based on a nonlinear …

The extended tanh method is used to derive new solitons solutions for several forms of the
fifth-order nonlinear KdV equation. The forms include the Lax, Sawada–Kotera (SK) …

The tanh–coth method is used to derive solitons and kink solutions for some of the well-
known nonlinear parabolic partial differential equations. The equations include the Fisher …

In this paper, we use the Hirota bilinear method. With the help of symbolic calculation and
applying this method, we solve the (2+ 1)(2+ 1)-dimensional bidirectional Sawada–Kotera …

This study investigates the Nizhnik-Novikov-Veselov and the Drinfel'd-Sokolov systems by
using the extended sinh-Gordon equation expansion method. The Nizhnik-Novikov-Veselov …

The Korteweg–de Vries (KdV) equation with higher order nonlinearity models the wave
propagation in one-dimensional nonlinear lattice. A higher-order extension of the familiar …

The paper compares computational aspects of four approaches to compute conservation
laws of single Differential Equations (DEs) or systems of them, ODEs and PDEs. The only …

Algorithms are presented for the tanh-and sech-methods, which lead to closed-form
solutions of nonlinear ordinary and partial differential equations (ODEs and PDEs). New …