### Abstract

Original language | English |
---|---|

Title of host publication | Stock Image Unified Transform for Boundary Value Problems |

Subtitle of host publication | Applications and Advances |

Editors | A. S. Fockas, B. Pelloni |

Publisher | SIAM |

Pages | 73-90 |

Number of pages | 18 |

ISBN (Print) | 9781611973815 |

Publication status | Published - 2014 |

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### Cite this

*Stock Image Unified Transform for Boundary Value Problems: Applications and Advances*(pp. 73-90). SIAM.

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*Stock Image Unified Transform for Boundary Value Problems: Applications and Advances.*SIAM, pp. 73-90.

**The elliptic sine-Gordon equation - a nonlinear elliptic integrable PDE.** / Pelloni, Beatrice.

Research output: Chapter in Book/Report/Conference proceeding › Chapter

TY - CHAP

T1 - The elliptic sine-Gordon equation - a nonlinear elliptic integrable PDE

AU - Pelloni, Beatrice

PY - 2014

Y1 - 2014

N2 - In this paper, we summarise this recent progress to underline the features specific to this nonlinear elliptic case, and we give a new classification of boundary conditions on the semistrip that satisfy a necessary condition for yielding a boundary value problem can be effectively linearised. This classification is based on formulation the equation in terms of an alternative Lax pair.

AB - In this paper, we summarise this recent progress to underline the features specific to this nonlinear elliptic case, and we give a new classification of boundary conditions on the semistrip that satisfy a necessary condition for yielding a boundary value problem can be effectively linearised. This classification is based on formulation the equation in terms of an alternative Lax pair.

M3 - Chapter

SN - 9781611973815

SP - 73

EP - 90

BT - Stock Image Unified Transform for Boundary Value Problems

A2 - Fockas, A. S.

A2 - Pelloni, B.

PB - SIAM

ER -