15InteractionofNonlinearWaterWaveandNonuniformCurrents

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同伦分析方法与非线性微分方程（英文版）作者：廖世俊　　 ISBN：978-7-04-032298-9　出版时间：2012-02-09

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目录

FrontMatter

PartIBasicIdeasandTheorems

1Introduction

2BasicIdeasoftheHomotopyAnalysisMethod

3OptimalHomotopyAnalysisMethod

4SystematicDescriptionsandRelatedTheorems

5RelationshiptoEulerTransform

6SomeMethodsBasedontheHAM

PartIIMathematicaPackageBVPhandItsApplications

7MathematicaPackageBVPh

8NonlinearBoundary-valueProblemswithMultipleSolutions

9NonlinearEigenvalueEquationswithVaryingCoefficients

10ABoundary-layerFlowwithanInfiniteNumberofSolutions

11Non-similarityBoundary-layerFlows

12UnsteadyBoundary-layerFlows

PartIIIApplicationsinNonlinearPartialDifferentialEquations

13ApplicationsinFinance:AmericanPutOptions

14TwoandThreeDimensionalGelfandEquation

15InteractionofNonlinearWaterWaveandNonuniformCurrents

16ResonanceofArbitraryNumberofPeriodicTravelingWaterWaves

Index
- 15.1Introduction
- 15.2Mathematicalmodeling
- 15.2.1Originalboundary-valueequation
- 15.2.2Dubreil-Jacotintransformation
- 15.3Briefmathematicalformulas
- 15.3.1Solutionexpression
- 15.3.2Zeroth-orderdeformationequation.
- 15.3.3High-orderdeformationequation
- 15.3.4Successivesolutionprocedure
- 15.4Homotopyapproximations
- 15.5Concludingremarks
- Appendix15.1Mathematicacodeofwave-currentinteraction
- References

15InteractionofNonlinearWaterWaveandNonuniformCurrents

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