Results 101 to 110 of about 48,721 (216)

A simple and direct method for generating travelling wave solutions for nonlinear equations

, 2007
We propose a simple and direct method for generating travelling wave solutions for nonlinear integrable equations. We illustrate how nontrivial solutions for the KdV, the mKdV and the Boussinesq equations can be obtained from simple solutions of linear ...
A. Silva, Ablowitz, Ablowitz, Ablowitz, Almeida, Ashok Das, Bazeia, Bazeia, Bazeia, Boussinesq, D. Bazeia, Das, Dickey, Drazin, Faddeev, Gardner, Hirota, Korteweg, L. Losano, Lax, Lax, Mathieu, Miura, Olver, Whitham, Zakharov, Zakharov, Zakharov   +27 more
core   +1 more source

Hitchhiker's Guide to the Swampland: The Cosmologist's Handbook to the String‐Theoretical Swampland Programme

Fortschritte der Physik, Volume 74, Issue 4, April 2026.
Abstract String theory has strong implications for cosmology, implying the absence of a cosmological constant, ruling out single‐field slow‐roll inflation, and that black holes decay. The origins of these statements are elucidated within the string‐theoretical swampland programme.
Kay Lehnert
wiley   +1 more source

The simplified Hirota’s method for studying three extended higher-order KdV-type equations

Journal of Ocean Engineering and Science, 2016
In this work we study three extended higher-order KdV-type equations. The Lax-type equation, the Sawada–Kotera-type equation and the CDG-type equation are derived from the extended KdV equation.
Abdul-Majid Wazwaz
doaj   +1 more source

Global Impacts of Ultra‐Low‐Frequency Waves: 1. Thermospheric Responses and Traveling Atmospheric Disturbances

Geophysical Research Letters, Volume 53, Issue 6, 28 March 2026.
Abstract Ultra‐low‐frequency (ULF) waves cause local Thermosphere‐Ionosphere (T‐I) perturbations, but their impacts on the global T‐I system including the generation of Traveling Atmospheric Disturbances (TADs) have never been evaluated. The mechanisms responsible for the TAD generation and propagation, whether through dynamic or thermal process, are ...
Haonan Wu, Wenbin Wang, Xueling Shi, Dong Lin, Michael D. Hartinger, Joseph B. H. Baker, Shibaji Chakraborty   +6 more
wiley   +1 more source

On sl(N) and sl(M|N) integrable open spin chains

, 2004
We study open spin chains based on rational sl(N) and sl(M|N) R-matrices. We classify the solutions of the reflection equations, for both the soliton-preserving and soliton-non-preserving cases.
Arnaudon, D., Avan, J., Crampe', N., Doikou, A., Frappat, L., Ragoucy, E.   +5 more
core  

Geometrical representation and Hirota direct approach for multiple soliton solutions of nonlinear M-coupled fractional equations

Mathematical and Computer Modelling of Dynamical Systems
This paper introduces a novel analytical framework for deriving multiple soliton and singular soliton solutions to M-coupled fractional evolution equations.
Abaker A. Hassaballa, Mehmet Yavuz, Emad A.-B. Abdel-Salam, Gassan A.M.O. Farah, Ibtisam Daqqa   +4 more
doaj   +1 more source

Soliton propagation and polarisation mode-locking in birefringent optical fibres

, 1993
Soliton propagation in polarization-preserving fibres is analysed. Based on the coupled nonlinear Schrodinger equations we derive an analytical approximation for such type of soliton propagation.
Afanasjev, V.V., Grudinin, A.B.
core  

Dynamical behavior of kink solitons in nonlinear Chaffee-Infante equations with chaotic and bifurcation analysis

Ain Shams Engineering Journal
The Chaffee-Infante Equations (CIEs) are modified types of reaction-diffusion equations which are frequently employed in research of phase transitions, pattern generation and nonlinear wave dynamics.
Zainab Alsheekhhussain, Tariq S. Alshammari, Yaouba Amadou, Saleh Alshammari, Mohammad Alshammari, M. Mossa Al-sawalha   +5 more
doaj   +1 more source

Soliton Solutions for Quasilinear Schrödinger Equations [PDF]

Journal of Applied Mathematics, 2013
Summary: By using a change of variables, we get new equations, whose respective associated functionals are well defined in \(H^1(\mathbb R^N)\) and satisfy the geometric hypotheses of the mountain pass theorem. Using this fact, we obtain a nontrivial solution.
openaire   +3 more sources

Chaotic Phenomena, Sensitivity Analysis, Bifurcation Analysis, and New Abundant Solitary Wave Structures of The Two Nonlinear Dynamical Models in Industrial Optimization

Mathematics
In this research, we discussed the different chaotic phenomena, sensitivity analysis, and bifurcation analysis of the planer dynamical system by considering the Galilean transformation to the Lonngren wave equation (LWE) and the (2 + 1)-dimensional ...
M. Mamun Miah, Faisal Alsharif, Md. Ashik Iqbal, J. R. M. Borhan, Mohammad Kanan   +4 more
doaj   +1 more source