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Mathematical Modelling of Natural Phenomena

Shock Waves, Discontinuities and Singularities in Natural Phenomena

Ranis N. Ibragimov (Ed.)

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Periodic traveling-wave solutions to the Whitham equation

Kendall F. Casey

Published online: 03 May 2018

DOI: https://doi.org/10.1051/mmnp/2018026

Singular perturbed components of flows – linear precursors of shock waves

Yuli D. Chashechkin

Published online: 17 May 2018

DOI: https://doi.org/10.1051/mmnp/2018020

Single shock and periodic sawtooth-shaped waves in media with non-analytic nonlinearities

O.V. Rudenko and C.M. Hedberg

Published online: 17 May 2018

DOI: https://doi.org/10.1051/mmnp/2018028

Invariant solutions and shock atmospheric waves in a thin circular layer

Nail H. Ibragimov, Ranis N. Ibragimov and Vladimir F. Kovalev

Published online: 17 May 2018

DOI: https://doi.org/10.1051/mmnp/2018021

Kinetic and entropy solutions of quasilinear impulsive hyperbolic equations

Ivan Kuznetsov

Published online: 03 May 2018

DOI: https://doi.org/10.1051/mmnp/2018022

Calibration of reduced-order model for a coupled Burgers equations based on PC-EnKF

Yuepeng Wang, Yue Cheng, Zongyuan Zhang and Guang Lin

Published online: 03 May 2018

DOI: https://doi.org/10.1051/mmnp/2018023

Generalized Riemann waves and their adjoinment through a shock wave

A. Chaiyasena, W. Worapitpong and S.V. Meleshko

Published online: 20 June 2018

DOI: https://doi.org/10.1051/mmnp/2018027

Normal form for transverse instability of the line soliton with a nearly critical speed of propagation

Dmitry Pelinovsky

Published online: 22 June 2018

DOI: https://doi.org/10.1051/mmnp/2018024

Symmetry analysis and conservation laws of the time fractional Kaup-Kupershmidt equation from capillary gravity waves

Zhonglong Zhao and Bo Han

Published online: 06 April 2018

DOI: https://doi.org/10.1051/mmnp/2018025

Interaction solutions between soliton and periodic wave for the foam-drainage equation

Zhi-Yong Zhang and Kai-Hua Ma

Published online: 06 September 2018

DOI: https://doi.org/10.1051/mmnp/2018049