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Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Differential equations
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The Direct Method in Soliton Theory (Hardcover)
Loot Price: R3,630
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The Direct Method in Soliton Theory (Hardcover)
Series: Cambridge Tracts in Mathematics
Expected to ship within 10 - 15 working days
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The bilinear, or Hirota's direct, method was invented in the early
1970s as an elementary means of constructing soliton solutions that
avoided the use of the heavy machinery of the inverse scattering
transform and was successfully used to construct the multisoliton
solutions of many new equations. In the 1980s the deeper
significance of the tools used in this method - Hirota derivatives
and the bilinear form - came to be understood as a key ingredient
in Sato's theory and the connections with affine Lie algebras. The
main part of this book concerns the more modern version of the
method in which solutions are expressed in the form of determinants
and pfaffians. While maintaining the original philosophy of using
relatively simple mathematics, it has, nevertheless, been
influenced by the deeper understanding that came out of the work of
the Kyoto school. The book will be essential for all those working
in soliton theory.
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