This article deals with the reflective function of the mth-order nonlinear differential systems.The results are applied to discussing the stability property of periodic solutions of these systems.
Starting from a Backlund transformation and taking a special ansatz for the function f, we can obtain a much more generalexpression of solution that includes some variable separated functions for the higher-order Broe...Starting from a Backlund transformation and taking a special ansatz for the function f, we can obtain a much more generalexpression of solution that includes some variable separated functions for the higher-order Broer-Kaup system. From this expression, we investigate the interactions of localized coherent structures such as the multi-solitonic excitations and find the novel phenomenon that their interactions have non-elastic behavior because the fission/fusion may occur after the interaction of each localized coherent structure.展开更多
Rabi oscillations express a phenomenon of periodic conversion between two wave states in a coupled system.The finding of Rabi oscillation has led to important applications in many different disciplines.Despite great p...Rabi oscillations express a phenomenon of periodic conversion between two wave states in a coupled system.The finding of Rabi oscillation has led to important applications in many different disciplines.Despite great progress,it is still unknown whether the Rabi oscillating state can be excited in the framework of the higher-order vector vortex regime.Here,we demonstrate in theory that the higher-order vector vortex light beams can be Rabi oscillating during evolution in an optical coupling system.This new classical oscillating state of light is characterized by a topologically shaped wavefront and coupled with spatially varying polarization.The vector vortex state exhibits a harmonic oscillatory property in the resonant and nonresonant conditions but differs greatly in Rabi oscillating frequencies.During Rabi oscillation,the complex state maintains its topology and intensity profile,while its intrinsic polarization pattern varies adiabatically in a periodic manner.We present an interpretation of the Rabi oscillation of the higher-order wave states in terms of the coupled-mode theory.Furthermore,we reveal a symmetry-protected transition between two Rabi oscillating modes,driven by a slowly varying phase mismatch.This Rabi transition has not been reported in either quantum mechanics or any other physical setting.This work advances the research of Rabi oscillation into the higher-order regime,and it may lead to novel applications in classical and quantum optics.展开更多
In this letter, we construct a kind of new Darboux transformation for the （1＋1）-dimensional higher-order Broer-Kaup （HBK） system with the help of a gauge transformation of a spectral problem. By applying this new...In this letter, we construct a kind of new Darboux transformation for the （1＋1）-dimensional higher-order Broer-Kaup （HBK） system with the help of a gauge transformation of a spectral problem. By applying this new Darboux transformation, some new soliton-like solutions of the （1＋1）-dimensional HBK system are obtained.展开更多
This paper studies a higher-order semilinear parabolic system. We obtain the second critical exponent to characterize the critical space-decay rate of the initial data in the co-existence parameter region of global an...This paper studies a higher-order semilinear parabolic system. We obtain the second critical exponent to characterize the critical space-decay rate of the initial data in the co-existence parameter region of global and non-global solutions. Together with the critical Fujita exponent established by Pang et al.(2006),this gives a clear and complete picture to the Fujita phenomena in the coupled higher-order semilinear parabolic system.展开更多
This paper proposes an approach to detecting diseases in neem leaf that uses a Fuzzy-Higher Order Biologically Inspired Neuron Model(F-HOBINM)and adaptive neuro classifier(ANFIS).India exports USD 0.28-million worth o...This paper proposes an approach to detecting diseases in neem leaf that uses a Fuzzy-Higher Order Biologically Inspired Neuron Model(F-HOBINM)and adaptive neuro classifier(ANFIS).India exports USD 0.28-million worth of neem leaf to the UK,USA,UAE,and Europe in the form of dried leaves and powder,both of which help reduce diabetesrelated issues,cardiovascular problems,and eye disorders.Diagnosing neem leaf disease is difficult through visual interpretation,owing to similarity in their color and texture patterns.The most common diseases include bacterial blight,Colletotrichum and Alternaria leaf spot,blight,damping-off,powdery mildew,Pseudocercospora leaf spot,leaf web blight,and seedling wilt.However,traditional color and texture algorithms fail to identify leaf diseases due to irregular lumps and surfaces,and rough ridges,as the classification time involved takes as long as a week.The proposed F-HOBINM algorithm recognizes the leaf intensity through the leaky capacitor,and uses subjective intensity and physical stimulus to interpret the diagnosis.Further,the processed leaf images from the HOBINM algorithm are applied to the ANFIS classifier to identify neem leaf diseases.The experimental results show 92.18%accuracy from a database of 1,462 neem leaves.展开更多
基金the National Natural Science Foundation of China(1 0 1 71 0 88) and the National Natural Science Foundation of Jiangsu Educational Committee(99KJ1 1 0 0 0 5 )
文摘This article deals with the reflective function of the mth-order nonlinear differential systems.The results are applied to discussing the stability property of periodic solutions of these systems.
文摘Starting from a Backlund transformation and taking a special ansatz for the function f, we can obtain a much more generalexpression of solution that includes some variable separated functions for the higher-order Broer-Kaup system. From this expression, we investigate the interactions of localized coherent structures such as the multi-solitonic excitations and find the novel phenomenon that their interactions have non-elastic behavior because the fission/fusion may occur after the interaction of each localized coherent structure.
基金National Natural Science Foundation of China(11974146 and 62175091)Guangzhou Municipal Science and Technology Project(201904010094)+1 种基金Key-Area Research and Development Program of Guangdong Province(2020B090922006)the Pearl River talent project(2017GC010280).
文摘Rabi oscillations express a phenomenon of periodic conversion between two wave states in a coupled system.The finding of Rabi oscillation has led to important applications in many different disciplines.Despite great progress,it is still unknown whether the Rabi oscillating state can be excited in the framework of the higher-order vector vortex regime.Here,we demonstrate in theory that the higher-order vector vortex light beams can be Rabi oscillating during evolution in an optical coupling system.This new classical oscillating state of light is characterized by a topologically shaped wavefront and coupled with spatially varying polarization.The vector vortex state exhibits a harmonic oscillatory property in the resonant and nonresonant conditions but differs greatly in Rabi oscillating frequencies.During Rabi oscillation,the complex state maintains its topology and intensity profile,while its intrinsic polarization pattern varies adiabatically in a periodic manner.We present an interpretation of the Rabi oscillation of the higher-order wave states in terms of the coupled-mode theory.Furthermore,we reveal a symmetry-protected transition between two Rabi oscillating modes,driven by a slowly varying phase mismatch.This Rabi transition has not been reported in either quantum mechanics or any other physical setting.This work advances the research of Rabi oscillation into the higher-order regime,and it may lead to novel applications in classical and quantum optics.
基金The project partially supported by the State Key Basic Pesearch Program of China under Grant No. 2004CB318000
文摘In this letter, we construct a kind of new Darboux transformation for the （1＋1）-dimensional higher-order Broer-Kaup （HBK） system with the help of a gauge transformation of a spectral problem. By applying this new Darboux transformation, some new soliton-like solutions of the （1＋1）-dimensional HBK system are obtained.
基金supported by National Natural Science Foundation of China(Grant Nos.11171048 and 11326149)the Science and Technology Research Project of Department of Education of Jiangxi Province(Grant No.GJJ14759)
文摘This paper studies a higher-order semilinear parabolic system. We obtain the second critical exponent to characterize the critical space-decay rate of the initial data in the co-existence parameter region of global and non-global solutions. Together with the critical Fujita exponent established by Pang et al.(2006),this gives a clear and complete picture to the Fujita phenomena in the coupled higher-order semilinear parabolic system.
文摘This paper proposes an approach to detecting diseases in neem leaf that uses a Fuzzy-Higher Order Biologically Inspired Neuron Model(F-HOBINM)and adaptive neuro classifier(ANFIS).India exports USD 0.28-million worth of neem leaf to the UK,USA,UAE,and Europe in the form of dried leaves and powder,both of which help reduce diabetesrelated issues,cardiovascular problems,and eye disorders.Diagnosing neem leaf disease is difficult through visual interpretation,owing to similarity in their color and texture patterns.The most common diseases include bacterial blight,Colletotrichum and Alternaria leaf spot,blight,damping-off,powdery mildew,Pseudocercospora leaf spot,leaf web blight,and seedling wilt.However,traditional color and texture algorithms fail to identify leaf diseases due to irregular lumps and surfaces,and rough ridges,as the classification time involved takes as long as a week.The proposed F-HOBINM algorithm recognizes the leaf intensity through the leaky capacitor,and uses subjective intensity and physical stimulus to interpret the diagnosis.Further,the processed leaf images from the HOBINM algorithm are applied to the ANFIS classifier to identify neem leaf diseases.The experimental results show 92.18%accuracy from a database of 1,462 neem leaves.
