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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 ...
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 ...