## Methods and Applications of Analysis, Volume 4 |

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### Contents

Liu Hongxia and Lin Longwei | 357 |

F W J Olver | 375 |

Khalfa Douak and Pascal Maroni | 404 |

Copyright | |

3 other sections not shown

### Common terms and phrases

1-shock 1991 Mathematics Subject 1997 International Press 2-rarefaction waves Appl Applications of Analysis approximate solutions arbitrary asymptotic expansion behavior bounded classical coefficients computed condition conservation laws consider convergence corresponding curve defined denote derivative discrete entropy estimate exists exponential finite formula Gegenbauer polynomials given Glimm Hamiltonian Hence hyperbolic incomplete gamma function initial data integral interaction International Press ISSN interpolation KdV equation Kruskal Lemma linear main sum Math Mathematics Subject Classification Methods and Applications modulation NLS equation nonclassical method nonlinear obtain Olver ordinary differential equations orthogonal polynomials oscillatory Painleve Painleve equations paper parameter partial differential equations perturbation Phys points Poisson bracket problem Proof prove recurrence relation reduced flow representation respectively result satisfies second-order Section sequence shock wave singular limit soliton solve stationary sufficiently small symmetry reductions Theorem theory transformation travelling wave values variables vector yields Zapprox zero