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Construction of (n+ 1) -dimensional dual-mode nonlinear equations: multiple shock wave solutions for (3 + 1) -dimensional dual-mode Gardner-type and KdV-type
(
Springer International Publishing
, 2019 , Article)
The goal of this study is to offer an exclusive functional conversion to produce (n+ 1) -dimensional dual-mode nonlinear equations. This transformation has been implemented and new (3 + 1) -dimensional dual-mode Gradner-type ...
New Multiple-kink solutions and singular-kink-solutions of (2 + 1) - Dimensional coupled burgers system with time variable coefficients
(
American Scientific Publishers
, 2017 , Article)
In this paper, we show that the (2+1)-dimensional coupled Burgers system with time variable coefficients which arise in engineering, chemistry, chemical physics, plasma physics, complex physics and phenomena gives multiple ...
New solitary wave and multiple soliton solutions for the time-space coupled fractional mKdV system with time-dependent coefficients
(
American Scientific Publishers
, 2016 , Article)
In this paper, a simplified bilinear method combined with a fractional transform has been used to obtain new multiple soliton solutions for the Fractional coupled modified KdV systems with variable coefficients. These ...
Multi-soliton solutions of the BBM equation arisen in shallow water
(
International Scientific Research Publications
, 2016 , Article)
In this work, multiple soliton solutions and multiple singular soliton solutions are formally derived for the BBM equation. A novel transformation method combined with the Hirota's bilinear method are used to determine the ...
A new numerical method for heat equation subject to integral specifications
(
International Scientific Research Publications
, 2016 , Article)
We develop a numerical technique for solving the one-dimensional heat equation that combine classical and integral boundary conditions. The combined Laplace transform, high-precision quadrature schemes, and Stehfest inversion ...
New solitary wave and multiple soliton solutions for fifth order nonlinear evolution equation with time variable coefficients
(
Elsevier B.V.
, 2018 , Article)
In this paper, we investigate the multiple soliton solutions and multiple singular soliton solutions of a class of the fifth order nonlinear evolution equation with variable coefficients of t using the simplified bilinear ...
Approximate solutions to the generalized time-fractional ito system
(
Forum-Editrice Universitaria Udinese SRL
, 2017 , Article)
In this work, we consider the time-fractional version of the well-known integrable Ito system to study the effect of its fractional index "memory index". A modified approach of a relatively new method called residual power ...