Results 261 to 270 of about 3,788,461 (324)

Auxiliary equation method for the mKdV equation with variable coefficients

Applied Mathematics and Computation, 2010
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Guo, Shimin, Zhou, Yubin
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Stability analysis and retrieval of new solitary waves of (2+1)- and (3+1)-dimensional potential Kadomtsev–Petviashvili and B-type Kadomtsev–Petviashvili equations using auxiliary equation technique

Modern physics letters B
The Kadomtsev–Petviashvili (KP) equations are nonlinear partial differential equations which are widely used for the modeling of wave propagation in hydrodynamic and plasma systems.
Fatma Nur Kaya Sağlam, Shabir Ahmad
semanticscholar   +1 more source

Applications of extended modified auxiliary equation mapping method for high-order dispersive extended nonlinear Schrödinger equation in nonlinear optics

Modern physics letters B, 2019
In this paper, we discussed analytically higher order dispersive extended nonlinear Schrödinger equation with the aid of newly developed technique named as extended modified auxiliary equation mapping method.
A. Seadawy, N. Cheemaa
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Auxiliary equation method and new solutions of Klein–Gordon equations

Chaos, Solitons & Fractals, 2007
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Travelling wave solutions of nonlinear equations using the Auxiliary Equation Method

Il Nuovo Cimento B, 2008
In this paper we obtain travelling wave solutions of nonlinear partial differential equations starting from a different reducible hyperelliptic equation as an auxiliary equation which does not appear in any other paper. We point out that all the cases, to our knowledge, considered in the literature are included in this paper, so our work exhausts all ...
BRUGARINO, Tommaso, SCIACCA, Michele
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Auxiliary equation method for solving nonlinear Wick-type partial differential equations

Communications in Nonlinear Science and Numerical Simulation, 2011
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Chen, Yong, Gao, Hongjun
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The extended auxiliary equation mapping method to determine novel exact solitary wave solutions of the nonlinear fractional PDEs

, 2020
In this paper, some new nonlinear fractional partial differential equations (PDEs) have been considered.Three models are including the space-time fractional-order Boussinesq equation, space-time (2 + 1)-dimensional breaking soliton equations, and space ...
J. Manafian, O. Ilhan, L. Avazpour
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Analytical and Approximate Solutions for Complex Nonlinear Schrödinger Equation via Generalized Auxiliary Equation and Numerical Schemes

Communications in Theoretical Physics, 2019
This article studies the performance of analytical, semi-analytical and numerical scheme on the complex nonlinear Schrödinger (NLS) equation. The generalized auxiliary equation method is surveyed to get the explicit wave solutions that are used to ...
M. Khater, D. Lu, R. Attia, M. Inc.
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A Generalized Auxiliary Equation Method for the Quadratic Nonlinear KG Equation

Applied Mechanics and Materials, 2013
A generalized auxiliary equation method with symbolic computation is used to construct more general exact solutions of the quadratic nonlinear Klein-Gordon (KG) equation. As a result, new and more general solutions are obtained. It is shown that the generalized auxiliary equation method provides a more powerful mathematical tool for solving nonlinear ...
Sheng Zhang, Bo Xu, Ao Xue Peng
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An auxiliary equation technique and exact solutions for a nonlinear Klein–Gordon equation

Chaos, Solitons & Fractals, 2009
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Lv, Xiumei, Lai, Shaoyong, Wu, Yonghong
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