Results 1 to 10 of about 155,027 (310)
Two nonnegative solutions for two-dimensional nonlinear wave equations
Cubo, 2022 We study a class of initial value problems for two-dimensional nonlinear wave equations. A new topological approach is applied to prove the existence of at least two nonnegative classical solutions.
Svetlin Georgiev, Mohamed Majdoub
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Solutions of the Two-Wave Interactions in Quadratic Nonlinear Media
Mathematics, 2020 In this paper, we propose a reliable treatment for studying the two-wave (symbiotic) solitons of interactions in nonlinear quadratic media. We investigate the Schauder’s fixed point theorem for proving the existence theorem.
Lazhar Bougoffa, Smail Bougouffa
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Kink-Like Wave and Compacton-Like Wave Solutions for a Two-Component Fornberg-Whitham Equation [PDF]
Abstract and Applied Analysis, 2014 Using bifurcation method and numerical simulation approach of dynamical systems, we study a two-component Fornberg-Whitham equation. Two types of bounded traveling wave solutions are found, that is, the kink-like wave and compacton-like wave solutions ...
Shaoyong Li, Ming Song
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Solitary wave solutions of two KdV-type equations
Open Physics, 2018 The present paper investigates the solitary wave solutions of the nonlinear evolution equations with power nonlinearties. The study has been carried out for two examples of KdV-type equations, namely, the nonlinear dispersive equation and the generalised
Al-Ghafri Khalil Salim
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Numerical solutions for two nonlinear wave equations
Water Science and Engineering, 2012 The split-step pseudo-spectral method is a useful method for solving nonlinear wave equations. However, it is not widely used because of the limitation of the periodic boundary condition.
Yi-feng Zhang, Rui-jie Li
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Traveling Wave Solutions of Two Nonlinear Wave Equations by (G′/G)-Expansion Method [PDF]
Advances in Mathematical Physics, 2018 We employ the (G′/G)-expansion method to seek exact traveling wave solutions of two nonlinear wave equations—Padé-II equation and Drinfel’d-Sokolov-Wilson (DSW) equation.
Yazhou Shi, Xiangpeng Li, Ben-gong Zhang
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Non classical interaction aspects to a nonlinear physical model
Results in Physics, 2023 This study deals the dynamics of waves to the conformable fractional (2+1)-dimensional Nizhnik–Novikov–Veselov (NNV) equations. The (2+1)-dimensional NNV equations are the isotropic Lax integrable extension of the (1+1)-dimensional Korteweg–de Vries ...
Hajar F. Ismael +5 more
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Results in Physics, 2021 In this paper, we study the generalized Burgers equation with variable coefficients which is considered in soliton theory and generated by considering the Hirota bilinear operators. We retrieve some novel exact analytical solutions, including 2-lump-type
Ziqiang Li +5 more
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Travelling-Wave Solutions for Wave Equations with Two Exponential Nonlinearities [PDF]
Zeitschrift für Naturforschung A, 2018 Abstract We use a simple method that leads to the integrals involved in obtaining the travelling-wave solutions of wave equations with one and two exponential nonlinearities. When the constant term in the integrand is zero, implicit solutions in terms of hypergeometric functions are obtained, while when that term is nonzero, all the ...
Stefan C. Mancas +2 more
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Results in Physics, 2022 In this article, we study the generalized (3+1)-dimensional nonlinear wave equation where is investigated in soliton theory and by employing the Hirota’s bilinear method the bilinear form is obtained, and the N-soliton solutions are constructed.
Guiping Shen +5 more
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