Integrable systems play a crucial role in physics and mathematics.In particular,the traditional(1+1)-dimensional and(2+1)-dimensional integrable systems have received significant attention due to the rarity of integra...Integrable systems play a crucial role in physics and mathematics.In particular,the traditional(1+1)-dimensional and(2+1)-dimensional integrable systems have received significant attention due to the rarity of integrable systems in higher dimensions.Recent studies have shown that abundant higher-dimensional integrable systems can be constructed from(1+1)-dimensional integrable systems by using a deformation algorithm.Here we establish a new(2+1)-dimensional Chen-Lee-Liu(C-L-L)equation using the deformation algorithm from the(1+1)-dimensional C-L-L equation.The new system is integrable with its Lax pair obtained by applying the deformation algorithm to that of the(1+1)-dimension.It is challenging to obtain the exact solutions for the new integrable system because the new system combines both the original C-L-L equation and its reciprocal transformation.The traveling wave solutions are derived in implicit function expression,and some asymmetry peakon solutions are found.展开更多
The clinical application and basic research of Draba nemerosa Hebecarpa jujube diarrhoea lung soup focus on respiratory diseases and circulatory diseases, and its clinical application is more compared with the basic r...The clinical application and basic research of Draba nemerosa Hebecarpa jujube diarrhoea lung soup focus on respiratory diseases and circulatory diseases, and its clinical application is more compared with the basic research, and Draba nemerosa Hebecarpa jujube diarrhoea lung soup is mostly used in the form of “Draba nemerosa Hebecarpa Hebecarpa jujube diarrhoea lung soup with additional subtractions or other formulas combining Draba nemerosa Hebecarpa Hebecarpa Hebecarpa jujube diarrhoea lung soup” in the clinical application. This article will focus on the main mechanisms of Draba nemerosa Hebecarpa jujube diarrhoea lung soup and its main components in the treatment of respiratory and circulatory diseases, and will give a review of the basic research on Draba nemerosa Hebecarpa Hebecarpa jujube diarrhoea lung soup as follows.展开更多
We present an eight component integrable Hamiltonian hierarchy, based on a reduced seventh order matrix spectral problem, with the aim of aiding the study and classification of multicomponent integrable models and the...We present an eight component integrable Hamiltonian hierarchy, based on a reduced seventh order matrix spectral problem, with the aim of aiding the study and classification of multicomponent integrable models and their underlying mathematical structures. The zero-curvature formulation is the tool to construct a recursion operator from the spatial matrix problem. The second and third set of integrable equations present integrable nonlinear Schrödinger and modified Korteweg-de Vries type equations, respectively. The trace identity is used to construct Hamiltonian structures, and the first three Hamiltonian functionals so generated are computed.展开更多
Functional constipation(FC)is considered the most common functional gastrointestinal disorder in children with a pooled global prevalence of 14.4%(95%confidence interval:11.2-17.6)when diagnosed based on the Rome IV c...Functional constipation(FC)is considered the most common functional gastrointestinal disorder in children with a pooled global prevalence of 14.4%(95%confidence interval:11.2-17.6)when diagnosed based on the Rome IV criteria.Its pathophysiological mechanisms are thought be multifactorial and complicated,resulting in difficult management.Currently,the most effective medication,when used in parallel with toilet training,is osmotic laxatives.Children’s adherence to medication and parental concern regarding long-term laxative use are the main contributors to treatment failure.Recently,novel therapies with a high safety profile have been developed,such as probiotics,synbiotics,serotonin 5-hydroxytryptamine 4 receptor agonists,chloride channel activators,and herbal and transitional medicines;nonetheless,well-designed research to support the use of these therapies is needed.This review aims to focus on multiple aspects of FC in children,including global prevalence,pathogenesis,diagnostic criteria,tools,as well as conventional and novel treatment options,such as non-pharmacological management,including adequate fiber and fluid intake,physiotherapy,or neuromodulators.We also report that in very difficult cases,surgical intervention may be required.展开更多
基金Project supported by the National Natural Science Foundation of China (Grant Nos.12275144,12235007,and 11975131)K.C.Wong Magna Fund in Ningbo University。
文摘Integrable systems play a crucial role in physics and mathematics.In particular,the traditional(1+1)-dimensional and(2+1)-dimensional integrable systems have received significant attention due to the rarity of integrable systems in higher dimensions.Recent studies have shown that abundant higher-dimensional integrable systems can be constructed from(1+1)-dimensional integrable systems by using a deformation algorithm.Here we establish a new(2+1)-dimensional Chen-Lee-Liu(C-L-L)equation using the deformation algorithm from the(1+1)-dimensional C-L-L equation.The new system is integrable with its Lax pair obtained by applying the deformation algorithm to that of the(1+1)-dimension.It is challenging to obtain the exact solutions for the new integrable system because the new system combines both the original C-L-L equation and its reciprocal transformation.The traveling wave solutions are derived in implicit function expression,and some asymmetry peakon solutions are found.
文摘The clinical application and basic research of Draba nemerosa Hebecarpa jujube diarrhoea lung soup focus on respiratory diseases and circulatory diseases, and its clinical application is more compared with the basic research, and Draba nemerosa Hebecarpa jujube diarrhoea lung soup is mostly used in the form of “Draba nemerosa Hebecarpa Hebecarpa jujube diarrhoea lung soup with additional subtractions or other formulas combining Draba nemerosa Hebecarpa Hebecarpa Hebecarpa jujube diarrhoea lung soup” in the clinical application. This article will focus on the main mechanisms of Draba nemerosa Hebecarpa jujube diarrhoea lung soup and its main components in the treatment of respiratory and circulatory diseases, and will give a review of the basic research on Draba nemerosa Hebecarpa Hebecarpa jujube diarrhoea lung soup as follows.
文摘We present an eight component integrable Hamiltonian hierarchy, based on a reduced seventh order matrix spectral problem, with the aim of aiding the study and classification of multicomponent integrable models and their underlying mathematical structures. The zero-curvature formulation is the tool to construct a recursion operator from the spatial matrix problem. The second and third set of integrable equations present integrable nonlinear Schrödinger and modified Korteweg-de Vries type equations, respectively. The trace identity is used to construct Hamiltonian structures, and the first three Hamiltonian functionals so generated are computed.
基金Thailand and Thailand Science Research and Innovation Fund Chulalongkorn University,No.HEA663000047.
文摘Functional constipation(FC)is considered the most common functional gastrointestinal disorder in children with a pooled global prevalence of 14.4%(95%confidence interval:11.2-17.6)when diagnosed based on the Rome IV criteria.Its pathophysiological mechanisms are thought be multifactorial and complicated,resulting in difficult management.Currently,the most effective medication,when used in parallel with toilet training,is osmotic laxatives.Children’s adherence to medication and parental concern regarding long-term laxative use are the main contributors to treatment failure.Recently,novel therapies with a high safety profile have been developed,such as probiotics,synbiotics,serotonin 5-hydroxytryptamine 4 receptor agonists,chloride channel activators,and herbal and transitional medicines;nonetheless,well-designed research to support the use of these therapies is needed.This review aims to focus on multiple aspects of FC in children,including global prevalence,pathogenesis,diagnostic criteria,tools,as well as conventional and novel treatment options,such as non-pharmacological management,including adequate fiber and fluid intake,physiotherapy,or neuromodulators.We also report that in very difficult cases,surgical intervention may be required.
