Results 61 to 70 of about 59,617,543 (217)
Pseudo-differential equations, and the Bethe ansatz for the classical Lie algebras [PDF]
, 2007 The correspondence between ordinary differential equations and Bethe ansatz equations for integrable lattice models in their continuum limits is generalised to vertex models related to classical simple Lie algebras.
Dunning, Clare +4 more
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A Note on the Fractional Generalized Higher Order KdV Equation
Journal of Function Spaces, 2018 We obtain exact solutions to the fractional generalized higher order Korteweg-de Vries (KdV) equation using the complex method. It has showed that the applied method is very useful and is practically well suited for the nonlinear differential equations ...
Yongyi Gu
doaj +1 more source
Advances in Mathematical Physics, 2022 Nonlinear evolution equations are crucial for understanding the phenomena in science and technology. One such equation with periodic solutions that has applications in various fields of physics is the Korteweg-de Vries (KdV) equation. In the present work,
Shubham Mishra +4 more
doaj +1 more source
Alexandria Engineering Journal, 2023 Non-linear evolution equations play a prominent role in describing a wide range of phenomena in optical fibers, fluid dynamics, electromagnetic radiation, plasma and solid state physics.
Mubashir Qayyum +4 more
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Engineering Reports, Volume 8, Issue 7, July 2026.Analytical fuzzy soliton solutions of a modified space–time fractional ϕ4$$ {\phi}^4 $$ model are derived using EHFM, capturing memory effects and uncertainty. Results reveal diverse wave structures and show how fractional order and fuzziness significantly influence soliton amplitude, localization, and propagation, with heightened sensitivity near the ...
Mohsin Khalid +3 more
wiley +1 more source
Numerical Methods for Partial Differential Equations, Volume 42, Issue 4, July 2026.ABSTRACT The main purpose of this paper is to design a fully discrete local discontinuous Galerkin (LDG) scheme for the generalized Benjamin–Ono equation. First, we prove the L2$$ {L}^2 $$‐stability for the proposed semi‐discrete LDG scheme and obtained a suboptimal order of convergence for power nonlinear flux.
Mukul Dwivedi, Tanmay Sarkar
wiley +1 more source
A discrete linearizability test based on multiscale analysis [PDF]
, 2010 In this paper we consider the classification of dispersive linearizable partial difference equations defined on a quad-graph by the multiple scale reduction around their harmonic solution.
C Scimiterna +6 more
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A Convergent Fourier Spectral Galerkin Method for the Fractional Camassa–Holm Equation
Numerical Methods for Partial Differential Equations, Volume 42, Issue 4, July 2026.ABSTRACT We analyze a Fourier spectral Galerkin method for the fractional Camassa–Holm (fCH) equation involving a fractional Laplacian of exponent α∈[1,2]$$ \alpha \in \left[1,2\right] $$ with periodic boundary conditions. The semi‐discrete scheme preserves both mass and energy invariants of the fCH equation.
Mukul Dwivedi, Andreas Rupp
wiley +1 more source
A class of equations with peakon and pulson solutions (with an Appendix by Harry Braden and John Byatt-Smith) [PDF]
, 2005 We consider a family of integro-differential equations depending upon a parameter b as well as a symmetric integral kernel g(x). When b=2 and g is the peakon kernel (i.e.
N W Hone +3 more
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Stability of KdV Solitons on the Half‐Line: A Study for Nonhomogeneous Boundary Conditions
Studies in Applied Mathematics, Volume 156, Issue 6, June 2026.ABSTRACT We study the orbital stability and asymptotic stability problems for KdV solitons on the right half‐line for nonhomogeneous boundary conditions in the energy space H1(R+)$H^1(\mathbb {R}^+)$. This paper improves the results of Cavalcante and Muñoz [Revista Matemática Iberoamericana 35, no. 6 (2019); and SIAM Journal on Mathematical Analysis 55,
Luccas Campos +2 more
wiley +1 more source