Integrable discretization and numerical simulations of the generalized coupled integrable dispersionless equations
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Difference Equations and Applications"
DOI: 10.1080/10236198.2019.1581179
Abstract: ABSTRACT In this paper, we study the generalized coupled integrable dispersionless (GCID) equations and construct two integrable discrete analogues including a semi-discrete system and a full-discrete one. The results are based on the relations among… read more here.
Keywords: semi discrete; integrable dispersionless; gcid equations; generalized coupled ... See more keywords
Thermally nonlinear generalized coupled thermo-viscoelasticity of disks: a numerical variational approach
Sign Up to like & getrecommendations! Published in 2020 at "Waves in Random and Complex Media"
DOI: 10.1080/17455030.2020.1865589
Abstract: A novel numerical approach is proposed herein to study thermomechanical wave propagation in annular disks made of viscoelastic materials under inner thermal shock based on the Lord–Shulman (L–S) th... read more here.
Keywords: thermo viscoelasticity; coupled thermo; nonlinear generalized; generalized coupled ... See more keywords
Generalized coupled-mode formalism in reciprocal waveguides with gain, loss, anisotropy, or bianisotropy
Sign Up to like & getrecommendations! Published in 2019 at "Physical Review B"
DOI: 10.1103/physrevb.99.195307
Abstract: In anisotropic or bianisotropic waveguides, the standard coupled mode theory fails due to the broken link between the forward and backward propagating modes, which together form the dual mode sets that are crucial in constructing… read more here.
Keywords: generalized coupled; coupled mode; mode; anisotropy bianisotropy ... See more keywords
Some generalized coupled nonlinear Schrödinger equations and conservation laws
Sign Up to like & getrecommendations! Published in 2017 at "Modern Physics Letters B"
DOI: 10.1142/s0217984917502992
Abstract: Based on zero-curvature equation, a series of new four-component nonlinear Schrodinger-type equations related to a 3 × 3 matrix problem are proposed by using the polynomial expansion of the spectral parameter. As two special reductions,… read more here.
Keywords: nonlinear schrodinger; type equations; generalized coupled; conservation laws ... See more keywords