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Auxiliary equation method for ill-posed Boussinesq equation
Physica Scripta, 2019This paper comprises the extraction of many new general exact soliton solutions of the ill-posed Boussinesq equation, which has a number of applications in mathematical physics, by employing auxiliary equation method. The method successfully yields bell shape soliton, singular soliton, topological (dark) soliton, non-topological (bright) soliton and ...
Sadaf Bibi +3 more
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AUXILIARY EQUATION METHOD AND ITS APPLICATIONS TO NONLINEAR EVOLUTION EQUATIONS
International Journal of Modern Physics C, 2003By using the solutions of an auxiliary ordinary differential equation, a direct algebraic method is described to construct several exact travelling wave solutions for some nonlinear partial differential equations. By this method some physically important nonlinear equations are investigated and new exact travelling wave solutions are explicitly ...
Sirendaoreji, Jiong, Sun
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Auxiliary equation method for solving nonlinear partial differential equations
Physics Letters A, 2003zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sirendaoreji, Jiong, Sun
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Auxiliary equation method for the mKdV equation with variable coefficients
Applied Mathematics and Computation, 2010zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Guo, Shimin, Zhou, Yubin
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The Combination of Conservation Laws and Auxiliary Equation Method
International Journal of Applied and Computational Mathematics, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Modern Physics Letters B, 2021
This study is made to extract the exact solutions of Korteweg–de Vries–Burgers (KdVB) equation and Korteweg–de Vries (KdV) equation. The original idea of this work is to investigate KdV equation and KdVB equation for possible closed form solutions by employing the modified auxiliary equation (MAE) method.
Ghazala Akram +2 more
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This study is made to extract the exact solutions of Korteweg–de Vries–Burgers (KdVB) equation and Korteweg–de Vries (KdV) equation. The original idea of this work is to investigate KdV equation and KdVB equation for possible closed form solutions by employing the modified auxiliary equation (MAE) method.
Ghazala Akram +2 more
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Auxiliary equation method and new solutions of Klein–Gordon equations
Chaos, Solitons & Fractals, 2007zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Travelling wave solutions of nonlinear equations using the Auxiliary Equation Method
Il Nuovo Cimento B, 2008In 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, 2011zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chen, Yong, Gao, Hongjun
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Optical solitons for Biswas–Milovic equation by new extended auxiliary equation method
Optik, 2020Abstract Biswas–Milovic equation is used to narrate the nonlinear dynamics of optical solitons in nonlinear optics. With the aid of new extended auxiliary method, we find Jacobi elliptic functions solutions which degenerate to bright, dark, singular and other solitary wave solutions with Kerr law and dual power law nonlinearities.
Syed Tahir Raza Rizvi +2 more
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