Journal ArticleDOI
Painlevé analysis and invariant solutions of generalized fifth-order nonlinear integrable equation
Lakhveer Kaur,Abdul-Majid Wazwaz +1 more
TLDR
In this article, a generalized fifth-order nonlinear integrable equation has been investigated by locating movable critical points with aid of Painleve analysis and it has been found that this equation passes painleve test for $$\alpha =\beta $$ which implies affirmation toward the complete integrability.Abstract:
In present work, new form of generalized fifth-order nonlinear integrable equation has been investigated by locating movable critical points with aid of Painleve analysis and it has been found that this equation passes Painleve test for $$\alpha =\beta $$
which implies affirmation toward the complete integrability. Lie symmetry analysis is implemented to obtain the infinitesimals of the group of transformations of underlying equation, which has been further pre-owned to furnish reduced ordinary differential equations. These are then used to establish new abundant exact group-invariant solutions involving various arbitrary constants in a uniform manner.read more
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New extended Kadomtsev–Petviashvili equation: multiple soliton solutions, breather, lump and interaction solutions
TL;DR: In this article, a new extended Kadomtsev-Petviashvili (eKP) equation was developed and the Painleve analysis was used to confirm the integrability of the eKP equation.
Journal ArticleDOI
Lie symmetry reductions and group invariant solutions of (2 + 1)-dimensional modified Veronese web equation
Sachin Kumar,Amit Kumar +1 more
TL;DR: In this article, the authors applied the Lie symmetry method to compute group invariant solutions for the modified Veronese web (mVw) equation and obtained its infinitesimals, commutation table of Lie algebra, symmetry reductions and closed form analytical solutions.
Journal ArticleDOI
New integrable Boussinesq equations of distinct dimensions with diverse variety of soliton solutions
Abdul-Majid Wazwaz,Lakhveer Kaur +1 more
TL;DR: In this article, a family of Boussinesq equations of distinct structures and dimensions are examined and the complete integrability of these equations via Painleve test is investigated.
Journal ArticleDOI
Lie symmetry analysis and generalized invariant solutions of (2+1)-dimensional dispersive long wave (DLW) equations
TL;DR: In this article, the authors apply the Lie group of point transformation method to construct the generalized invariant solutions for the (2+1)-dimensional dispersive long wave (DLW) equations under some constraints imposed on infinitesimal generators.
Journal ArticleDOI
A (2+1)-dimensional Kadomtsev-Petviashvili equation with competing dispersion effect: Painlevé analysis, dynamical behavior and invariant solutions
TL;DR: In this paper, a nonlinear Kadomtsev-Petviashvili equation with a competing dispersion effect is considered and the integrability of the governing equation via using the Painleve analysis is examined.
References
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Extended Jacobi elliptic function expansion method and its applications
TL;DR: In this paper, an extended Jacobi elliptic function expansion method is proposed for constructing the exact solutions of nonlinear wave equations, and the validity and reliability of the method is tested by its applications to some nonlinear Wave equations.
Journal ArticleDOI
Modified extended tanh-function method and its application on nonlinear physical equations
M.A. Abdou,A.A. Soliman +1 more
TL;DR: In this article, a modified extended tanh-function method for constructing multiple traveling wave solutions of nonlinear physical equations is presented and implemented in a computer algebraic system, which can also be applied to other nonlinear equations in physics such as the Broer-Kaup-Kupershmidt, coupled-nonlinear reaction-diffusion equations.
Journal ArticleDOI
Kawahara equation and modified Kawahara equation with time dependent coefficients: symmetry analysis and generalized G′G-expansion method
Lakhveer Kaur,R. K. Gupta +1 more
TL;DR: In this paper, the similarity reductions and exact solutions are derived by determining the complete sets of point symmetries of these equations, and some exact analytic solutions are considered by the power series method.
Journal ArticleDOI
Abundant solutions of various physical features for the (2+1)-dimensional modified KdV-Calogero–Bogoyavlenskii–Schiff equation
TL;DR: In this article, a modified KdV-Calogero-Bogoyavlenskii-Schiff equation is investigated by using various techniques, including truncated Painleve expansion, simplified Hirota's method and other methods.
Journal ArticleDOI
A new generalized fifth-order nonlinear integrable equation
TL;DR: In this article, a generalized fifth-order nonlinear integrable equation is examined and the Hereman-Nuseir method is used to derive the conditions for the cases of complete integrability of this equation.