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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 ...