Different strategies of foam stabilization in the use of foam as a fracturing fluid

J Zhou, PG Ranjith, WAM Wanniarachchi - Advances in Colloid and …, 2020 - Elsevier
An attractive alternative to mitigate the adverse effects of conventional water-based fluids on
the efficiency of hydraulic fracturing is to inject foam-based fracking fluids into reservoirs …

Solving the (3+ 1)-dimensional generalized KP and BKP equations by the multiple exp-function algorithm

WX Ma, Z Zhu - Applied Mathematics and Computation, 2012 - Elsevier
The multiple exp-function algorithm, as a generalization of Hirota's perturbation scheme, is
used to construct multiple wave solutions to the (3+ 1)-dimensional generalized KP and BKP …

[HTML][HTML] New generalized Jacobi elliptic function rational expansion method

AT Ali - Journal of computational and applied mathematics, 2011 - Elsevier
In this work, a new generalized Jacobi elliptic function rational expansion method is based
upon twenty-four Jacobi elliptic functions and eight double periodic Weierstrass elliptic …

Numerical investigation of nonlinear shock wave equations with fractional order in propagating disturbance

J Fang, M Nadeem, M Habib, A Akgül - Symmetry, 2022 - mdpi.com
The symmetry design of the system contains integer partial differential equations and
fractional-order partial differential equations with fractional derivative. In this paper, we …

[HTML][HTML] Exact solutions of the generalized (2+ 1)-dimensional nonlinear evolution equations via the modified simple equation method

MO Al-Amr - Computers & Mathematics with Applications, 2015 - Elsevier
In this paper, the modified simple equation method (MSEM) is applied to construct exact
solutions of the generalized (2+ 1)-dimensional nonlinear evolution equations (NLEEs) …

A modification of extended homoclinic test approach to solve the (3+ 1)-dimensional potential-YTSF equation

MT Darvishi, M Najafi - Chinese Physics Letters, 2011 - iopscience.iop.org
By means of the extended homoclinic test approach (EHTA) one can solve some nonlinear
partial differential equations (NLPDEs) in their bilinear forms. When an NLPDE has no …

New extended rational trigonometric methods and applications

MT Darvishi, M Najafi, AM Wazwaz - Waves in Random and …, 2020 - Taylor & Francis
In this paper, we propose two new extensions of the rational trigonometric methods for
solving distinct forms of Boussinesq-like equations. The proposed methods give solutions …

Dispersive traveling wave solutions to the space–time fractional equal-width dynamical equation and its applications

KU Tariq, AR Seadawy, M Younis, STR Rizvi - Optical and Quantum …, 2018 - Springer
In this article, some new traveling wave solutions to the space–time fractional equal-width
equation are constructed with the help of the extended Fan sub-equation method. A simple …

[HTML][HTML] Exact solutions to the foam drainage equation by using the new generalized (G′/G)-expansion method

MN Alam - Results in Physics, 2015 - Elsevier
The new generalized (G′/G)-expansion method is an interesting approach to find new and
more general exact solutions to the nonlinear evolution equations (NLEEs) in mathematical …

New exact solutions to the (2+ 1)-dimensional Ablowitz—Kaup—Newell—Segur equation: modification of the extended homoclinic test approach

M Najafi, M Najafi, MT Darvishi - Chinese Physics Letters, 2012 - iopscience.iop.org
New Exact Solutions to the (2+1)-Dimensional Ablowitz–Kaup–Newell–Segur Equation:
Modification of the Extended Homoclinic Page 1 Chinese Physics Letters GENERAL New Exact …