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Theoretical and Mathematical Physics, 2001
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Approximate Solution of Space-Time Fractional KdV Equation and Coupled KdV Equations
Journal of the Physical Society of Japan, 2020The main goal of this article is to find the approximate solution of the space-time fractional order KdV (STFKdV) equation and Coupled KdV (STFCKdV) equations by using Homotopy analysis method (HAM...
Swapan Biswas +3 more
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, 2020
KdV types of equations play an important role in many fields. In this paper, we study a seventh-order generalized KdV equation and its fractional version in fluid mechanics using symmetry.
Gangwei Wang +3 more
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KdV types of equations play an important role in many fields. In this paper, we study a seventh-order generalized KdV equation and its fractional version in fluid mechanics using symmetry.
Gangwei Wang +3 more
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Physics Letters A, 1998
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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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Modern physics letters B, 2019
This paper studies (2+1)-dimensional Konopelchenko–Dubrovsky equation and (2+1)-dimensional KdV equation via a modified auxiliary equation technique. These two systems describe the connection between the nonlinear weaves with a weak scattering and long ...
M. Khater, D. Lu, R. Attia
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This paper studies (2+1)-dimensional Konopelchenko–Dubrovsky equation and (2+1)-dimensional KdV equation via a modified auxiliary equation technique. These two systems describe the connection between the nonlinear weaves with a weak scattering and long ...
M. Khater, D. Lu, R. Attia
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Exact solutions for coupled KdV equation and KdV equations
Physics Letters A, 2007zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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PSEUDOPOTENTIAL METHOD APPLIED TO KdV EQUATION AND HIGHER DEGREE KdV EQUATION
Acta Mathematica Scientia, 1984Using the invariance of KdV equation under a Galilean transformation we obtain Newton's equation with the first approximation under the generalized meaning of a weak gravitation field, i.e. \[ (A)\quad \partial^ 2\phi /\partial x'{}^ 2=-\partial V(\phi)/\partial \phi \] where \(V(\phi)=(1/6)\phi^ 3-(1/2)v\phi^ 2-k\phi\) is called pseudopotential.
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2003
In this chapter we study small perturbations of the KdV equation $$ u_t = - u_{xxx} + 6uu_x $$ on the real line with periodic boundary conditions. We consider this equation as an infinite dimensional, integrable Hamiltonian system and subject it to sufficiently small Hamiltonian perturbations.
Thomas Kappeler, Jürgen Pöschel
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In this chapter we study small perturbations of the KdV equation $$ u_t = - u_{xxx} + 6uu_x $$ on the real line with periodic boundary conditions. We consider this equation as an infinite dimensional, integrable Hamiltonian system and subject it to sufficiently small Hamiltonian perturbations.
Thomas Kappeler, Jürgen Pöschel
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Physics Letters, 2019
In this paper, we analyse the (2+1)-dimensional KdV and mKdV equations. Firtly, on the basis of the extended Lax pair, we derive these equations. Thereafter, the symmetry generators are determined followed by the application of the mCK method.
Gangwei Wang, A. Kara
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In this paper, we analyse the (2+1)-dimensional KdV and mKdV equations. Firtly, on the basis of the extended Lax pair, we derive these equations. Thereafter, the symmetry generators are determined followed by the application of the mCK method.
Gangwei Wang, A. Kara
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