Results 21 to 30 of about 191,756 (165)
Abstract and Applied Analysis, 2012 The Bäcklund transformations and abundant exact explicit solutions for a class of nonlinear wave equation are obtained by the extended homogeneous balance method.
Yong Huang, Yadong Shang
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Calculating Water Wavelength Using Dispersion Relation and Approximation
Undergraduate Journal of Mathematical Modeling: One + Two, 2019 The dispersion relation equation is used to directly compute wave number and wave length to compliment water wave pressure sensor readings. Waves are measured to help coastal engineering to better mitigate coastal infrastructures.
Chantelle Lee
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AIMS Mathematics, 2021 In this paper, we investigate non-traveling wave solutions of the (3+1)-dimensional variable coefficients Date-Jimbo-Kashiwara-Miwa (VC-DJKM) equation, which describes the real physical phenomena owing to the inhomogeneities of media.
Yuanqing Xu, Xiaoxiao Zheng, Jie Xin
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On a Vector Modified Yajima–Oikawa Long-Wave–Short-Wave Equation
Mathematics, 2019 A vector modified Yajima−Oikawa long-wave−short-wave equation is proposed using the zero-curvature presentation. On the basis of the Riccati equations associated with the Lax pair, a method is developed to construct multi-fold classical and ...
Xianguo Geng, Ruomeng Li
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Results in Physics, 2018 In this current work, we employ novel methods to find the exact travelling wave solutions of Modified Liouville equation and the Symmetric Regularized Long Wave equation, which are called extended simple equation and exp(-Ψ(ξ))-expansion methods.
Dianchen Lu, Aly R. Seadawy, Asghar Ali
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New soliton solution to the longitudinal wave equation in a magneto-electro-elastic circular rod
Results in Physics, 2018 This paper examines the effectiveness of an integration scheme which called the extended trial equation method (ETEM) in exactly solving a well-known nonlinear equation of partial differential equations (PDEs).
Aly R. Seadawy, Jalil Manafian
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Results in Physics, 2016 The propagation of hydrodynamic wave packets and media with negative refractive index is studied in a quintic derivative nonlinear Schrödinger (DNLS) equation.
Chen Yue, Aly Seadawy, Dianchen Lu
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Exact solutions of modified Zakharov–Kuznetsov equation by the homogeneous balance method
Ain Shams Engineering Journal, 2014 In this article, the homogeneous balance method is used to construct exact traveling wave solutions for the modified Zakharov–Kuznetsov equation using the Riccati equation.
M. Eslami +2 more
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Kajian Teoritis terhadap Persamaan Gelombang Nonlinier
Jurnal Teknik Sipil, 2010 Abstrak. Paper ini menyajikan hasil perumusan persamaan gelombang nonlinier dengan prosedur yang lain. Dimana amplitudo gelombang, persamaan momentum dari Euler dan tekanan hidrodinamis dari Bernoulli sepenuhnya digunakan, tanpa pemotongan atau ...
Syawaluddin Hutahean
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On the time-dependent parabolic wave equation
International Journal of Mathematics and Mathematical Sciences, 2002 One approach to the study of wave propagation in a restricted domain is to approximate the reduced Helmholtz equation by a parabolic wave equation. Here we consider wave propagation in a restricted domain modelled by a parabolic wave equation whose ...
Arthur D. Gorman
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