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Part of the book series: Mathematics and Its Applications ((MAIA,volume 442))

Abstract

Solitary waves were discovered by the naval architect, John Scott Russell, more than a hundred and fifty years ago while he was surveying the Union Canal near Edinburgh. While riding beside the canal, he saw a barge stop abruptly after hitting an underwater obstacle, and then a rounded heap of water perhaps a foot and a half high emerged from the wavy chaos at its bow. He waited for the wave to disperse, and waited, and waited — and then put the spurs to his horse. He followed it for nearly a mile, a wave propagating at a steady rate without change in shape or speed, until he lost it in the windings of the canal.

“Sitting on the gas tank of an aeroplane ⋯ I sensed the ridiculous inanity of the old syntax inherited from Homer.” — Filipino Tommaso Marinetti, The Technical Manifesto of Futurist Literature(1912)

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© 1998 Springer Science+Business Media Dordrecht

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Boyd, J.P. (1998). Introduction. In: Weakly Nonlocal Solitary Waves and Beyond-All-Orders Asymptotics. Mathematics and Its Applications, vol 442. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-5825-5_1

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  • DOI: https://doi.org/10.1007/978-1-4615-5825-5_1

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4613-7670-5

  • Online ISBN: 978-1-4615-5825-5

  • eBook Packages: Springer Book Archive

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