Results 21 to 30 of about 315,021 (338)
Results in Physics, 2019 Different types of soliton wave solutions for the (3 + 1)-dimensional Kadomtsev-Petviashvili and the generalized Boussinesq equations are investigated via the solitary wave ansatz method.
D. Lu +5 more
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Exact solitary and periodic-wave solutions of the K(2,2) equation (defocusing branch) [PDF]
, 2010 An auxiliary elliptic equation method is presented for constructing exact solitary and periodic travelling-wave solutions of the K(2, 2) equation (defocusing branch). Some known results in the literature are recovered more efficiently, and some new exact
Biswas +18 more
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Multi-speed solitary wave solutions for nonlinear Schrödinger systems [PDF]
Journal of the London Mathematical Society, 2014 We prove the existence of a new type of solutions to a nonlinear Schr dinger system. These solutions, which we call "multi-speeds solitary waves", are behaving at large time as a couple of scalar solitary waves traveling at different speeds. The proof relies on the construction of approximations of the multi-speeds solitary waves by solving the system
Ianni, Isabella, Le Coz, Stefan
openaire +5 more sources
Complexity, 2020 In this paper, we study the exact solitary wave solutions and periodic wave solutions of the S-S equation and give the relationships between solutions and the Hamilton energy of their amplitudes.
Weiguo Zhang +3 more
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Complexity, 2019 In this paper, we first present a complex multirational exp-function ansatz for constructing explicit solitary wave solutions, N-wave solutions, and rouge wave solutions of nonlinear partial differential equations (PDEs) with complex coefficients.
Sheng Zhang, Lijie Zhang, Bo Xu
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New Solitary Wave Solutions for Variants of (3+1)-Dimensional Wazwaz-Benjamin-Bona-Mahony Equations
Frontiers of Physics, 2020 We solve distinct forms of (3+1)-Dimensional Wazwaz-Benjamin-Bona-Mahony [(3+1)-Dimensional WBBM] equations by employing the method of Sardar-subequation.
H. Rezazadeh, M. Inc., D. Baleanu
semanticscholar +1 more source
Fractal and Fractional, 2023 The Korteweg–de Vries (KDV) equation is one of the most well-known models in nonlinear physics, such as fluid physics, plasma, and ocean engineering. It is very important to obtain the exact solutions of this model in the process of studying these topics.
Guojiang Wu, Yong Guo
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Closed-Form Solutions in a Magneto-Electro-Elastic Circular Rod via Generalized Exp-Function Method
Mathematics, 2022 In this study, the dispersal caused by the transverse Poisson’s effect in a magneto-electro-elastic (MEE) circular rod is taken into consideration using the nonlinear longitudinal wave equation (LWE), a mathematical physics problem. Using the generalized
Muhammad Shakeel +5 more
doaj +1 more source
Open Physics, 2021 In this article, a new generalized exponential rational function method (GERFM) is employed to extract new solitary wave solutions for the ionic currents along microtubules dynamical equations, which is very interested in nanobiosciences. In this article,
Aljahdaly Noufe H. +2 more
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A note on solitary travelling-wave solutions to the transformed reduced Ostrovsky equation [PDF]
, 2010 Two recent papers are considered in which solitary travelling-wave solutions to the transformed reduced Ostrovsky equation are presented.
E.J. Parkes +11 more
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