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Exact traveling wave solutions of (2+1)-dimensional extended Calogero–Bogoyavlenskii–Schiff equation using extended trial equation method and modified auxiliary equation method
The (2+1)-dimensional extended Calogero–Bogoyavlenskii–Schiff equation appears in the mathematical description of physical phenomena in plasma...
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Hirota–Maccari system arises in single-mode fibers: abundant optical solutions via the modified auxiliary equation method
This research paper’s primary goal is to find fresh approaches to the Hirota–Maccari system. This system explains the dynamical features of the...
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The exact solutions of Schrödinger–Hirota equation based on the auxiliary equation method
The Schrödinger–Hirota equation are studied in light transmission, optical fiber communication, and nonlinear effects in optics. The auxiliary...
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Bifurcation and exact traveling wave solutions to a conformable nonlinear Schrödinger equation using a generalized double auxiliary equation method
This paper deals with a nonlinear Schrödinger equation in the sense of conformable derivative. Bifurcations and phase portraits are first proposed by...
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New exact solitary wave solutions of the generalized (3 + 1)-dimensional nonlinear wave equation in liquid with gas bubbles via extended auxiliary equation method
This article will investigate the exact solitary wave solutions of the (3 + 1) generalized nonlinear wave equation with gas bubbles. Gas...
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Investigation of Brownian motion in stochastic Schrödinger wave equation using the modified generalized Riccati equation map** method
This work investigates the stochastic nonlinear Schrödinger equation in a more extended form, influenced by multiplicative noise which represents the...
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Solutions of (3+1)-dimensional extended quantum nonlinear Zakharov–Kuznetsov equation using the generalized Kudryashov method and the modified Khater method
This article deals with finding some exact solutions of the (3+1)-dimensional nonlinear extended quantum Zakharov–Kuznetsov equation using the...
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Multi soliton solutions of the Fokas–Lenells equation using modified bilinear method and conservation laws
In this paper, we propose the bilinearization of the Fokas–Lenells derivative nonlinear Schrödinger equation (inshort gauged Fokas–Lenells equation)...
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Simulations of exact explicit solutions of simplified modified form of Camassa–Holm equation
In this paper, the exact explicit traveling wave solutions to the simplified modified Camassa–Holm (SMCH) equation. The SMCH equation is a...
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Homotopy Analysis with Shehu Transform Method for Time-Fractional Modified KdV Equation in Dusty Plasma
In this article, a semi-analytical method for effectively solving the time-fractional modified KdV equation, which describes dust acoustic waves in a...
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New exact solutions of (3+1)-dimensional modified KdV-Zakharov-Kuznetsov equation by Sardar-subequation method
New solitary wave solutions are developed for various shapes of three-dimensional nonlinear partial differential equations using the...
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Multi wave solutions and wave propagation in plasma physics over the Gilson-Pickering equation by modified extended tanh-function method
In this paper, the Gilson-Pickering equation which enables a wave propagation in plasma physics and crystal lattice theory is studied. Based on the...
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On solitary wave solutions for the extended nonlinear Schrödinger equation via the modified F-expansion method
Because the importance of the optical wave propagation in fibers, we seek for the optical travelling wave solutions and effect of the third-order...
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Jacobi elliptic function expansion method for the improved modified kortwedge-de vries equation
In this paper, the Jacobi elliptic function expansion technique is put forward for the first time to build the exact solution of the improved...
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New analytic wave solutions to (2 + 1)-dimensional Kadomtsev–Petviashvili–Benjamin–Bona–Mahony equation using the modified extended map** method
In this study, the (2 + 1)-dimensional Kadomtsev–Petviashvili–Benjamin–Bona–Mahony equation (KP-BBME) is examined. KP-BBM is used as a water wave...
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Approximate-analytic optical soliton solutions of a modified-Gerdjikov–Ivanov equation: modulation instability
The Gerdjikov–Ivanov equation (GIE) occupied a remarkable area of research in the literature. In the present work, a modified GIE (MGIE) is...
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A class of optical solutions for time-fractional perturbed Fokas–Lenells equation via a modified Sardar sub-equation approach
This paper dedicates to study the optical soliton solutions for the time-fractional perturbed Fokas-Lenells equation using the novel modified Sardar...
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Analytic soliton solutions for RKL equation with quadrupled power-law of self-phase modulation using modified extended direct algebraic method
The fast development of technology and science increases the demand on solving quite complicated nonlinear partial differential equations (NLPDEs) in...
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Realization of optical solitons from nonlinear Schrödinger equation using modified Sardar sub-equation technique
This study presents a novel modification of the Sardar sub-equation method for solving the nonlinear SchrÖdinger equation (NLSE) with second order...
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Exploration new solitons to generalized nonlinear Schrödinger equation with Kudryashov’s dual form of generalized non-local nonlinearity using improved modified extended tanh-function method
In the ongoing study, generalized nonlinear Schrödinger equation with dual form of generalized non-local nonlinearity is studied. The generalized...
