Results 31 to 40 of about 340,065 (284)
Arab Journal of Basic and Applied Sciences, 2021 The time fractional (2, 2, 2) Zakharov-Kuznetsov (ZK) equation and the space-time fractional Zakharov-Kuznetsov-Benjamin-Bona-Mahony (ZKBBM) equation demonstrate the characteristic of shallow water waves, turbulent motion, waves of electro-hydro-dynamics
M. Nurul Islam +3 more
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Applied Sciences, 2022 An improved homotopy analysis method (IHAM) is proposed to solve the nonlinear differential equation, especially for the case when nonlinearity is strong in this paper.
Yinshan Li +3 more
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Results in Physics, 2022 In the field of marine engineering, the characteristics of wave propagation play an imperative character. In many geographical regions, the key source of environmental effects on artificial floating or stationary structures or seashores is waves.
Asim Zafar +4 more
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Critical Keller-Segel meets Burgers on ${\mathbb S}^1$: large-time smooth solutions [PDF]
, 2016 We show that solutions to the parabolic-elliptic Keller-Segel system on ${\mathbb S}^1$ with critical fractional diffusion $(-\Delta)^\frac{1}{2}$ remain smooth for any initial data and any positive time. This disproves, at least in the periodic setting,
Burczak, Jan, Granero-Belinchón, Rafael
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Auxiliary branch method and modified nodal voltage equations [PDF]
Advances in Radio Science, 2008 Abstract. A theorem is presented describing a transformation by means of which it is possible to assign to an elementary multiport with fairly general constitutive equations (including all kinds of controlled sources, nullors, ideal transformers, etc.) a modified multiport with the same all-pole terminal behavior.
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A generalized simplest equation method and its application to the Boussinesq-Burgers equation. [PDF]
PLoS ONE, 2015 In this paper, a generalized simplest equation method is proposed to seek exact solutions of nonlinear evolution equations (NLEEs). In the method, we chose a solution expression with a variable coefficient and a variable coefficient ordinary differential
Bilige Sudao, Xiaomin Wang
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Continuous and discrete transformations of a one-dimensional porous medium equation
, 1999 We consider the one-dimensional porous medium equation $u_t=\left (u^nu_x \right )_x+\frac{\mu}{x}u^nu_x$. We derive point transformations of a general class that map this equation into itself or into equations of a similar class.
Bluman G.W. +8 more
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Exact Traveling Wave Solutions of the Schamel-KdV Equation with Two Different Methods
Universal Journal of Mathematics and Applications, 2023 The Schamel-Korteweg-de Vries (S-KdV) equation including a square root nonlinearity is very important pattern for the research of ion-acoustic waves in plasma and dusty plasma.
Seydi Battal Gazi Karakoç +2 more
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An upper bound for asymmetrical spinless Salpeter equations
, 2012 Using the auxiliary field method, a generic upper bound is obtained for the spinless Salpeter equation with two different masses. Analytical results are presented for the cases of the Coulomb and linear potentials when a mass is vanishing.Comment ...
Semay, Claude
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An Extended Auxiliary Function Method and Its Application in mKdV Equation [PDF]
Mathematical Problems in Engineering, 2013 An extended auxiliary function method is presented for constructing exact traveling wave solutions to nonlinear partial differential equations. The main idea of this method is to take full advantage of the solutions to the elliptic equation to construct exact traveling wave solutions for nonlinear partial differential equations. mKdV equation is chosen
Xiao, Yafeng +2 more
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