Results 81 to 90 of about 10,458 (263)

Linear Subspaces of Solutions Applied to Hirota Bilinear Equation

Aceh International Journal of Science and Technology, 2012
Linear subspace of solution is applied to Boussinesq and Kadomtseve-Petviashvili (KP) equations using Hirota bilinear transformation. A sufficient and necessary condition for the existence of linear subspaces of exponential travelling wave solutions to ...
M. Y. Adamu, E. Suleiman
doaj  

Bilinear form and soltion solutions for (3+1)-dimensional negative-order KdV-CBS equation

Open Physics
This article investigates a significant mathematical model for multiwave interactions. For the first time, the bilinear form of the (3+1)-dimensional negative-order Korteweg–de Vries (KdV)-Calogero–Bogoyavlenskii–Schiff (CBS) equation is derived using ...
Chen Dan
doaj   +1 more source

Intercomparison of a Regional Climate Model Ensemble for Selected European Catchments

International Journal of Climatology, EarlyView.
This study analyzes a regional climate model ensemble for water cycle and water resource research with two models. Results show that ICON generally outperforms TSMP1 simulations, mainly with 2‐m temperature and precipitation. These findings serve as a baseline evaluation that shows how key structural differences influence the model skill.
Jane Leonor Roque, Francis Da Silva Lopes, Julian Alberto Giles, Benjamin D. Gutknecht, Bernd Schalge, Yikui Zhang, Marco Ferro, Petra Friederichs, Klaus Goergen, Stefan Poll, Arianna Valmassoi   +10 more
wiley   +1 more source

Land Use and Land Cover Analysis for Solid Waste Management in NCT Delhi Using Fusion Aware Segformer

Land Degradation &Development, EarlyView.
ABSTRACT The use of Land Use Land Cover (LULC) analysis is a fundamental requirement for urban solid waste management (SWM); however, conventional LULC analysis methods are not well suited to the spatio‐temporal variability, multi‐sensor heterogeneity, and seasonal variations of highly dynamic urban environments.
Rubeena Vohra, Ashish Kumar
wiley   +1 more source

Analyzing Soliton Solutions of the (n+1)-dimensional generalized Kadomtsev–Petviashvili equation: Comprehensive study of dark, bright, and periodic dynamics

Results in Physics
This paper investigates the (n+1) dimensional integrable extension of the Kadomtsev–Petviashvili (KP) equation. The study focuses on extracting Auto-Bäcklund transformations for the given model using the extended homogeneous balance (HB) method in ...
Nauman Raza, Ahmed Deifalla, Beenish Rani, Nehad Ali Shah, Adham E. Ragab   +4 more
doaj   +1 more source

Incorporating Suitability Evaluation Into an Adaptive Ant Colony Algorithm for Territorial Spatial Optimization

Land Degradation &Development, EarlyView.
ABSTRACT Territorial spatial optimization is a key strategy to promote long‐term regional sustainable development. Although ant colony optimization (ACO) is widely used in territorial spatial optimization, it is prone to local optima and offers limited integration of spatial suitability and regional heterogeneity. To address these problems, an adaptive
Mingxin Li, Yanhui Wang, Chunhua Peng, Yue Sun   +3 more
wiley   +1 more source

Bilinear Forms and (Hyper-) Determinants

Advances in Mathematics, 1996
It is the purpose of this paper to describe the homology of \(K_A\) (Koszul complex), in the case \(n=2\). The article is organized as follows. Section 2 contains some preliminaries together with the definition of the complexes \(B(a,b;A)\). Section 3 shows that over \(\mathbb{C}\), the bihomogeneous components of \(K_A\) are expressible in terms of ...
openaire   +3 more sources

Representations by bilinear forms (and.p a) [PDF]

Annali di Matematica Pura ed Applicata, 1966
This paper deals with the problem of computing the number of representations of one bilinear form by another mod \(p^a\), where \(p\) is a prime and \(a\) is any positive integer. Expressed in matrix language, this is the number \(N(A, B, a)\) of mod \(p^a\) incongruent solutions \(U, V\) of the matrix congruence \(UAV\equiv B \pmod{p^a}\), where \(A ...
openaire   +1 more source

Optimization of Land Pattern in Mining Area Based on the Improvement of Ecosystem Service Function—A Case Study of Fushun Mining Area

Land Degradation &Development, EarlyView.
ABSTRACT Mining activities are prevalent worldwide and pose significant threats to the supply of ecosystem services (ESs) for humanity. Many mining areas face challenges related to recovery and reclamation following resource depletion. A key challenge for the sustainable development of these areas is how to achieve collaborative optimization of land ...
Luge Rong, Changwei An
wiley   +1 more source

Spatially Heterogeneous and Nonlinear Responses of Ecosystem Service Value to Human Activity Intensity in an Arid Mountain–Oasis–Desert Urban Agglomeration

Land Degradation &Development, EarlyView.
ABSTRACT Rapid urbanization and agricultural expansion are reshaping human–environment relationships in arid regions; however, the spatially heterogeneous and nonlinear relationships between human activities and ecosystem services remain insufficiently understood.
Hui Zhao, Zhihao Wang, Yongchao Zhou, Min Zhang, Jiayu Li   +4 more
wiley   +1 more source