Results 21 to 30 of about 3,508 (166)
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
doaj +1 more source
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
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
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
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
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
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
doaj +1 more source
Scientific Reports, 2023 In this study, the Lengyel-Epstein system is under investigation analytically. This is the reaction–diffusion system leading to the concentration of the inhibitor chlorite and the activator iodide, respectively.
Nauman Ahmed +7 more
doaj +1 more source