Results 11 to 20 of about 458,840 (351)
New periodic exact traveling wave solutions of Camassa–Holm equation
Partial Differential Equations in Applied Mathematics, 2022 In Zhang et al. (2007) and Zhang (2021) we constructed all single-peak traveling wave solutions of the Camassa–Holm equation including some explicit solutions. In general it is a challenge to construct exact multi-peak traveling wave solutions.
Guoping Zhang
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Periodic Wave Solutions and Their Limits for the Generalized KP-BBM Equation [PDF]
Journal of Applied Mathematics, 2012 We use the bifurcation method of dynamical systems to study the periodic wave solutions and their limits for the generalized KP-BBM equation. A number of explicit periodic wave solutions are obtained.
Ming Song, Zhengrong Liu
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New periodic wave solutions of (3+1)-dimensional soliton equation
, 2017 In this paper, associating with the Hirota bilinear form, the three-wave method, which is applied to construct some periodic wave solutions of (3+1)-dimensional soliton equation, is a powerful approach to obtain periodic solutions for many non-linear ...
Jiangen Liu +3 more
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New Types of Doubly Periodic Standing Wave Solutions for the Coupled Higgs Field Equation [PDF]
Abstract and Applied Analysis, 2014 Based on the Hirota bilinear method and theta function identities, we obtain a new type of doubly periodic standing wave solutions for a coupled Higgs field equation.
Gui-qiong Xu
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Double Periodic Wave Solutions of the (2 + 1)-Dimensional Sawada-Kotera Equation
Abstract and Applied Analysis, 2014 Based on a general Riemann theta function and Hirota’s bilinear forms, we devise a straightforward way to explicitly construct double periodic wave solution of (2+1)-dimensional nonlinear partial differential equation.
Zhonglong Zhao +2 more
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Controllability and periodic solutions of nonlinear wave equations
Electronic Journal of Differential Equations, 2017 The controllability of time-periodic solutions of a n-dimensional nonlinear wave equation is established with n=2,3. The result is used to establish the existence of time-periodic solutions of a nonlinear wave equation.
Bui An Ton
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Alexandria Engineering Journal, 2022 In this work, the improved modified extended tanh scheme is implemented to extract exact travelling wave solutions for perturbed nonlinear Schrödinger’s equation with Kudryashov’s law of refractive index and dual form of generalized nonlocal nonlinearity.
Islam Samir +3 more
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The nonlinear vibration and dispersive wave systems with extended homoclinic breather wave solutions
Open Physics, 2022 This article investigates the extended homoclinic (heteroclinic) breather wave solutions and interaction periodic and dark soliton solutions to the nonlinear vibration and dispersive wave systems.
Rao Xianqing +5 more
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The Jacobi elliptic function method and its application for the stochastic NNV system
Alexandria Engineering Journal, 2023 In this paper, the stochastic Nizhnik-Novikov-Veselov (NNV) system, which is a two-dimensional with a multiplicative noise in the Ito sense is studied for simple periodic wave solutions.
A. Hussain +4 more
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, 2021 In this paper, we consider a generalized (2+1)-dimensional nonlinear wave equation. Based on the bilinear, the N-soliton solutions are obtained. The resonance Y-type soliton and the interaction solutions between M-resonance Y-type solitons and P ...
Lingchao He +2 more
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