Search results for "MKD"

showing 5 items of 5 documents

Multi-parameters rational solutions to the mKdV equation

2021

N-order solutions to the modified Korteweg-de Vries (mKdV) equation are given in terms of a quotient of two wronskians of order N depending on 2N real parameters. When one of these parameters goes to 0, we succeed to get for each positive integer N , rational solutions as a quotient of polynomials in x and t depending on 2N real parameters. We construct explicit expressions of these rational solutions for orders N = 1 until N = 6.

47.35.FgNonlinear Sciences::Exactly Solvable and Integrable Systemswronskians47.10A-rational solutions PACS numbers : 33Q55[MATH.MATH-MP]Mathematics [math]/Mathematical Physics [math-ph]47.54.Bd[MATH.MATH-MP] Mathematics [math]/Mathematical Physics [math-ph]37K10mKdV equation
researchProduct

A web-based collection of genotype-phenotype associations in hereditary recurrent fevers from the Eurofever registry

2017

PubMed ID: 29047407

lcsh:MedicineFamilial Mediterranean feverCaps; Eurofever; FMF; Genotype-phenotype associations; Hereditary recurrent fevers; Infevers; MKD; Traps; Databases Genetic; Europe; Hereditary Autoinflammatory Diseases; Humans; Retrospective Studies; Genetic Association Studies; Registries0302 clinical medicineHereditary recurrent feverInfeversDatabases GeneticPharmacology (medical)030212 general & internal medicineRegistriesGenetics (clinical)EurofeverGeneral MedicineMEFVResponse to treatmentCapHereditary recurrent fevers3. Good healthGenotype-phenotype associationTrapEuropeComputingMilieux_MANAGEMENTOFCOMPUTINGANDINFORMATIONSYSTEMSInformationSystems_MISCELLANEOUSInflammatory diseases Radboud Institute for Molecular Life Sciences [Radboudumc 5]medicine.medical_specialtyGenotype-Phenotype AssociationInfever03 medical and health sciencesDatabasesFMFGeneticInternal medicineJournal ArticlemedicineHumansHereditary Recurrent FeversIn patientMKDTrapsGenetic Association StudiesRetrospective Studies030203 arthritis & rheumatologyGenotype-phenotype associationsbusiness.industryResearchlcsh:RComputerSystemsOrganization_COMPUTER-COMMUNICATIONNETWORKSHereditary Autoinflammatory DiseasesRetrospective cohort studymedicine.diseaseHuman geneticsComputingMethodologies_PATTERNRECOGNITIONCapsbusinessCaps; Eurofever; FMF; Genotype-phenotype associations; Hereditary recurrent fevers; Infevers; MKD; Traps; Genetics (clinical); Pharmacology (medical)
researchProduct

Rational solutions to the mKdV equation associated to particular polynomials

2021

International audience; Rational solutions to the modified Korteweg-de Vries (mKdV) equation are given in terms of a quotient of determinants involving certain particular polynomials. This gives a very efficient method to construct solutions. We construct very easily explicit expressions of these rational solutions for the first orders n = 1 until 10.

[PHYS]Physics [physics][SPI.ACOU]Engineering Sciences [physics]/Acoustics [physics.class-ph]Pure mathematicsApplied MathematicsRational solutionsMathematics::Analysis of PDEsGeneral Physics and Astronomy[SPI.MECA]Engineering Sciences [physics]/Mechanics [physics.med-ph]01 natural sciences010305 fluids & plasmasComputational MathematicsNonlinear Sciences::Exactly Solvable and Integrable SystemsModeling and Simulation0103 physical sciences010306 general physicsConstruct (philosophy)mKdV equationNonlinear Sciences::Pattern Formation and SolitonsQuotientMathematicsWave Motion
researchProduct

From particular polynomials to rational solutions to the mKdV equation

2022

Rational solutions to the modified Korteweg-de Vries (mKdV) equation are given in terms of a quotient of determinants involving certain particular polynomials. This gives a very efficient method to construct solutions. We construct very easily explicit expressions of these rational solutions for the first orders n = 1 until 10.

47.35.Fg47.10A-rational solutions PACS numbers : 33Q5547.54.Bd37K10[MATH.MATH-MP] Mathematics [math]/Mathematical Physics [math-ph]mKdV equation
researchProduct

The mKdV equation and multi-parameters rational solutions

2021

Abstract N -order solutions to the modified Korteweg–de Vries (mKdV) equation are given in terms of a quotient of two wronskians of order N depending on 2 N real parameters. When one of these parameters goes to 0, we succeed to get for each positive integer N , rational solutions as a quotient of polynomials in x and t depending on 2 N real parameters. We construct explicit expressions of these rational solutions for orders N = 1 until N = 6 .

[SPI.ACOU]Engineering Sciences [physics]/Acoustics [physics.class-ph][PHYS]Physics [physics]Pure mathematicsApplied MathematicsRational solutionsGeneral Physics and Astronomy[SPI.MECA]Engineering Sciences [physics]/Mechanics [physics.med-ph]01 natural sciences010305 fluids & plasmasComputational MathematicsNonlinear Sciences::Exactly Solvable and Integrable SystemsIntegerWronskiansModeling and Simulation0103 physical sciencesOrder (group theory)mKdV equation010301 acousticsQuotientMathematicsWave Motion
researchProduct