Solitons (Modern Problems in Condensed Matter Sciences)

In the twenty years since Zabusky and Kruskal coined the term ``soliton'', this concept changed the outlook on certain types of nonlinear phenomena and found its way into all branches of physics. The present volume deals with a great variety of applications of the new concept in condensed-matter physics, which is particularly reached in experimentally observable occurrences. The presentation is not centred around the mathematical aspects; the emphasis is on the physical nature of the nonlinear phenomena occurring in particular situations. With its emphasis on concrete, mostly experimentally verifiable cases, ``Solitons'' constitutes a very readable and instructive introduction to the subject as well as an up-to-date account of current developments in a field of research reaching maturity Content: Modern Problems in Condensed Matter Sciences Page ii Front Matter Page iii Copyright page Page iv Modern Problems in Condensed Matter Sciences Pages v-vi Preface to the Series Page vii V.M. Agranovich, A.A. Maradudin Preface Pages ix-xiii V.E. Zakharov, V.L. Pokrovsky, S.E. Trullinger Chapter 1 - Solitons in Biology Pages 1-51 A.S. DAVYDOV Chapter 2 - Experimental Observation of a Davydov-like Soliton Pages 53-69 Alwyn C. SCOTT Chapter 3 - Thermodynamics of Two-dimensional Soliton Systems Pages 71-127 V.L. POKROVSKY, A.L. TALAPOV, Per BAK Chapter 4 - Spin Dynamics of Heisenberg Chains Pages 129-240 T. SCHNEIDER, E. STOLL Chapter 5 - Solitons and Nonlinear Phenomena in Parametrically Excited Spin Waves Pages 241-300 Victor S. L'VOV Chapter 6 - Soliton Model of Polyacetylene Pages 301-387 S. KIVELSON Chapter 7 - Classical Statistical Mechanics of Lattice Dynamic Model Systems Pages 389-434 T. SCHNEIDER Chapter 8 - Solitons in Superfluid 3 He Pages 435-468 Kazumi MAKI Chapter 9 - Solitons in Josephson Transmission Lines Pages 469-501 N.F. PEDERSEN Chapter 10 - Soliton Stability Pages 503-554 V.E. ZAKHAROV, E.A. KUZNETSOV, A.M. RUBENCHIK Chapter 11 - Dynamical and Topological Solitons in Ferromagnets and Antiferromagnets Pages 555-603 A.M. KOSEVICH Chapter 12 - Solitons and Surface Diffusion Pages 605-622 I.F. LYUKSYUTOV, A.G. NAUMOVETS, Yu.S. VEDULA Chapter 13 - Integrable Magnetic Models Pages 623-690 A.V. MIKHAILOV Chapter 14 - Solitons in Charge and Spin Density Wave Systems Pages 691-721 Baruch HOROVITZ Chapter 15 - Solitons on the Toda Lattice: Thermodynamical and Quantum-mechanical Aspects Pages 723-781 Franz G. MERTENS, Helmut BÜTTNER Chapter 16 - Nonlinear Effects in Low-dimensional Magnets Pages 783-856 M. STEINER, A.R. BISHOP Author Index Pages 857-876 Subject Index Pages 877-889 Cumulative Index, Volumes 1–17 Pages 891-899 In the twenty years since Zabusky and Kruskal coined the term ``soliton'', this concept changed the outlook on certain types of nonlinear phenomena and found its way into all branches of physics. The present volume deals with a great variety of applications of the new concept in condensed-matter physics, which is particularly reached in experimentally observable occurrences. The presentation is not centred around the mathematical aspects; the emphasis is on the physical nature of the nonlinear phenomena occurring in particular situations.

With its emphasis on concrete, mostly experimentally verifiable cases, ``Solitons'' constitutes a very readable and instructive introduction to the subject as well as an up-to-date account of current developments in a field of research reaching maturity.