This article applies efficient methods, namely, modified decomposition method and new
iterative transformation method, to analyze a nonlinear system of Korteweg–de Vries …

We put into practice relatively new analytical techniques, the Shehu decomposition method
and the Shehu iterative transform method, for solving the nonlinear fractional coupled …

In this article, a simple and new algorithm is proposed, namely the modified variational
iteration algorithm-I (mVIA-I), for obtaining numerical solutions to different types of fifth-order …

In this article, a hybrid technique, called the Iteration transform method, has been
implemented to solve the fractional-order coupled Korteweg-de Vries (KdV) equation. In this …

In this work, we aim to apply a numerical approach based on Homotopy perturbation
transform method (HPTM) for derive the exact and approximate solutions of nonlinear fifth …

The fractional complex transform is employed to convert fractional differential equations
analytically in the sense of the Srivastava-Owa fractional operator and its generalization in …

The Kortweg–de Vries equations play an important role to model different physical
phenomena in nature. In this research article, we have investigated the analytical solution to …

To study magneto-acoustic waves in plasma, we will use a numerical method based on the
Natural Transform Decomposition Method (NTDM) to find the approximative solutions of …

This study uses efficient techniques to evaluate a non-linear system of Korteweg–de Vries
(KdV) equations with fractional Caputo Fabrizio derivative, including the modified …

An analytic study was conducted on coupled partial differential equations. We formally
derived new solitary wave solutions of generalized coupled system of Zakharov‐Kuznetsov …