# Modeling Solution of Nonlinear Dispersive Partial Differential Equations using the Marker Method

## Abstract

A new method for the solution of nonlinear dispersive partial differential equations is described. The marker method relies on the definition of a convective field associated with the underlying partial differential equation; the information about the approximate solution is associated with the response of an ensemble of markers to this convective field. Some key aspects of the method, such as the selection of the shape function and the initial loading, are discussed in some details.

- Authors:

- Publication Date:

- Research Org.:
- Princeton Plasma Physics Lab., Princeton, NJ (US)

- Sponsoring Org.:
- USDOE Office of Science (SC) (US)

- OSTI Identifier:
- 836622

- Report Number(s):
- PPPL-4046

TRN: US0500756

- DOE Contract Number:
- AC02-76CH03073

- Resource Type:
- Technical Report

- Resource Relation:
- Other Information: PBD: 25 Jan 2005

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 70 PLASMA PHYSICS AND FUSION TECHNOLOGY; PARTIAL DIFFERENTIAL EQUATIONS; SHAPE; SIMULATION; NUMERICAL METHODS; NUMERICAL SIMULATION

### Citation Formats

```
Jerome L.V. Lewandowski.
```*Modeling Solution of Nonlinear Dispersive Partial Differential Equations using the Marker Method*. United States: N. p., 2005.
Web. doi:10.2172/836622.

```
Jerome L.V. Lewandowski.
```*Modeling Solution of Nonlinear Dispersive Partial Differential Equations using the Marker Method*. United States. doi:10.2172/836622.

```
Jerome L.V. Lewandowski. Tue .
"Modeling Solution of Nonlinear Dispersive Partial Differential Equations using the Marker Method". United States.
doi:10.2172/836622. https://www.osti.gov/servlets/purl/836622.
```

```
@article{osti_836622,
```

title = {Modeling Solution of Nonlinear Dispersive Partial Differential Equations using the Marker Method},

author = {Jerome L.V. Lewandowski},

abstractNote = {A new method for the solution of nonlinear dispersive partial differential equations is described. The marker method relies on the definition of a convective field associated with the underlying partial differential equation; the information about the approximate solution is associated with the response of an ensemble of markers to this convective field. Some key aspects of the method, such as the selection of the shape function and the initial loading, are discussed in some details.},

doi = {10.2172/836622},

journal = {},

number = ,

volume = ,

place = {United States},

year = {Tue Jan 25 00:00:00 EST 2005},

month = {Tue Jan 25 00:00:00 EST 2005}

}

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