Results 11 to 20 of about 3,869 (265)
Solitary wave solutions of a Whitham–Boussinesq system [PDF]
Nonlinear Analysis: Real World Applications, 2021 The travelling wave problem for a particular bidirectional Whitham system modelling surface water waves is under consideration. This system firstly appeared in [Dinvay, Dutykh, Kalisch 2018], where it was numerically shown to be stable and a good approximation to the incompressible Euler equations.
E. Dinvay, D. Nilsson
openaire +2 more sources
Solitary Wave Solutions to a Generalization of the mKdV Equation
Russian Journal of Mathematical Physics, 2023 Preparation for Journal ...
Omel'yanov, G., Rodriguez, J. Noyola
openaire +2 more sources
Solitary wave solutions to the Isobe‐Kakinuma model for water waves [PDF]
Studies in Applied Mathematics, 2020 AbstractWe consider the Isobe‐Kakinuma model for two‐dimensional water waves in the case of a flat bottom. The Isobe‐Kakinuma model is a system of Euler‐Lagrange equations for a Lagrangian approximating Luke's Lagrangian for water waves. We show theoretically the existence of a family of small amplitude solitary wave solutions to the Isobe‐Kakinuma ...
Colin, Mathieu, Higuchi, Tatsuo
openaire +4 more sources
Numerical computation of solitary wave solutions of the Rosenau equation [PDF]
Wave Motion, 2020 We construct numerically solitary wave solutions of the Rosenau equation using the Petviashvili iteration method. We first summarize the theoretical results available in the literature for the existence of solitary wave solutions. We then apply two numerical algorithms based on the Petviashvili method for solving the Rosenau equation with single or ...
Erbay, Hüsnü Ata +2 more
openaire +6 more sources
Exact Solutions of Travelling Wave Model via Dynamical System Method
Abstract and Applied Analysis, 2016 By using the method of dynamical system, the exact travelling wave solutions of the coupled nonlinear Schrödinger-Boussinesq equations are studied. Based on this method, the bounded exact travelling wave solutions are obtained which contain solitary wave
Heng Wang, Longwei Chen, Hongjiang Liu
doaj +1 more source
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
doaj +1 more source
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
doaj +1 more source
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
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
doaj +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
doaj +1 more source