Statements (20)
| Predicate | Object | 
|---|---|
| gptkbp:instanceOf | 
                                    
                                        
                                            gptkb:mathematical_concept
                                        
                                         gptkb:integrable_system  | 
                            
| gptkbp:contains | 
                                    
                                        
                                            
                                            infinite sequence of nonlinear partial differential equations
                                        
                                        
                                         | 
                            
| gptkbp:generalizes | 
                                    
                                        
                                            gptkb:Korteweg–de_Vries_equation
                                        
                                         | 
                            
| gptkbp:hasApplication | 
                                    
                                        
                                            
                                            fluid dynamics
                                        
                                        
                                         mathematical analysis nonlinear waves  | 
                            
| gptkbp:hasEquation | 
                                    
                                        
                                            
                                            u_t + 6uu_x + u_{xxx} = 0 (KdV equation)
                                        
                                        
                                         | 
                            
| gptkbp:hasProperty | 
                                    
                                        
                                            gptkb:Lax_pair
                                        
                                         integrability infinite conservation laws  | 
                            
| gptkbp:namedAfter | 
                                    
                                        
                                            gptkb:Diederik_Korteweg
                                        
                                         gptkb:Gustav_de_Vries  | 
                            
| gptkbp:relatedTo | 
                                    
                                        
                                            gptkb:Korteweg–de_Vries_equation
                                        
                                         inverse scattering transform  | 
                            
| gptkbp:studiedIn | 
                                    
                                        
                                            
                                            mathematical physics
                                        
                                        
                                         soliton theory  | 
                            
| gptkbp:bfsParent | 
                                    
                                        
                                            gptkb:Gelfand–Dikii_hierarchy
                                        
                                         | 
                            
| gptkbp:bfsLayer | 
                                    
                                        
                                            
                                            8
                                        
                                        
                                         | 
                            
| https://www.w3.org/2000/01/rdf-schema#label | 
                                    
                                        
                                            
                                            KdV hierarchy
                                        
                                        
                                         |