Results 11 to 20 of about 9,582 (250)
Extended Tanh-Function Method and Its Applications in Nonlocal Complex mKdV Equations
Mathematics, 2022 In order to construct the multiple traveling wave solutions of the nonlocal modified Korteweg de Vires (mKdV) equation, the modified tanh-function approach for local soliton equations is extended to a nonlocal complex mKdV equation.
Xiaodong Wang +3 more
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New modified tanh-function method for nonlinear evolution equations
Tikrit Journal of Pure Science, 2023 The aim of this paper is to calculate the Traveling waves solutions by using a new technique which is called modified tanh-function method, which are successfully performed to get analytical solutions for Korteweg-deVries (KdV)–Burgers’ equation and ...
Wafaa M. Taha +3 more
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Alexandria Engineering Journal, 2022 In the present paper, the improved modified extended tanh-function method is employed to get new exact traveling wave solutions for the doubly dispersive model. Several types of solutions are obtained using the proposed method.
Manar S. Ahmed +2 more
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An Improved Modified Extended tanh-Function Method
Zeitschrift für Naturforschung A, 2006 In this paper we further improve the modified extended tanh-function method to obtain new exact solutions for nonlinear partial differential equations. Numerical applications of the proposed method are verified by solving the improved Boussinesq equation and the system of variant Boussinesq equations. The new exact solutions for these equations include
Zonghang Yang, Benny Y. C. Hon
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Soliton dynamics and stability in resonant nonlinear Schrödinger systems with cubic quintic effects via enhanced modified extended tanh function method [PDF]
Scientific ReportsThis study investigates solitary wave solutions of the three-dimensional, time-dependent nonlinear Schrödinger equation with cubic–quintic effects and a generalized Kudryashov-type self-phase modulation term.
Amany Tarek +3 more
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Expanding the Tanh-Function Method for Solving Nonlinear Equations
Applied Mathematics, 2011 In this paper, using the tanh-function method, we introduce a new approach to solitary wave solutions for solving nonlinear PDEs. The proposed method is based on adding integration constants to the resulting nonlinear ODEs from the nonlinear PDEs using the wave transformation. Also, we use a transformation related to those integration constants.
Nassar Hassan Abdel-Aal +2 more
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Journal of Low Frequency Noise, Vibration and Active Control, 2019 This paper applies the quasi hyperbolic function expansion method and the modified extended tanh-function method to exactly solve the nonlinear vibrating string equation and the elastic rod equation.
Yi Tian
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Modified extended tanh-function method and its applications to the Bogoyavlenskii equation
Applied Mathematical Modelling, 2016 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Emad H.M. Zahran, Mostafa M.A. Khater
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On certain novel numerical and analytical solutions for the pure-cubic Schrödinger equation in optical fibers with Kerr nonlinearity [PDF]
Scientific ReportsThis study examines the pure-cubic nonlinear Schrödinger equation associated with Kerr-type optical responses and formulates an integrated analytical–computational strategy for exploring its nonlinear wave behavior.
Kalim U. Tariq +3 more
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Fractal and Fractional, 2023 Nonlinear fractional partial differential equations (NLFPDEs) are widely used in simulating a variety of phenomena arisen in several disciplines such as applied mathematics, engineering, physics, and a wide range of other applications.
Mohammed Bakheet Almatrafi
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