Skip to main content
Springer Nature Link
Log in

Soliton Phenomenology

  • Book
  • © 1990

Overview

Authors:
  1. Vladimir G. Makhankov

    1. Laboratory of Computing Techniques and Automation, Joint Institute for Nuclear Research, Moscow, U.S.S.R.

    View author publications

    You can also search for this author in PubMed   Google Scholar

Part of the book series: Mathematics and its Applications (MASS, volume 33)

  • 6441 Accesses

This is a preview of subscription content, log in via an institution to check access.

Access this book

Log in via an institution
eBook USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever

Tax calculation will be finalised at checkout

Other ways to access

Licence this eBook for your library

Institutional subscriptions

Keywords

Table of contents (17 chapters)

  1. Front Matter

    Pages i-xi
    Download chapter PDF

  2. Introduction

    1. Introduction

      • Vladimir G. Makhankov
      Pages 1-11

  3. Quantum Systems and Classical Behaviour

    1. Some Physical Models and Nonlinear Differential Equations

      • Vladimir G. Makhankov
      Pages 13-54

    2. Physically Interesting Nonlinear Differential Equations

      • Vladimir G. Makhankov
      Pages 55-80

  4. Some Exact Results in One-Dimensional Space

    1. Front Matter

      Pages 81-85
      Download chapter PDF

    2. The Nonlinear Schrödinger Equation and the Landau-Lifshitz Equation

      • Vladimir G. Makhankov
      Pages 87-111

    3. The Nonlinear Schrödinger Equation with U( p ,q) Internal Symmetry and the Sine-Gordon Equation

      • Vladimir G. Makhankov
      Pages 113-147

  5. Noncompact Symmetries and Bose-Gas

    1. Dynamical Symmetry and Generalized Coherent States

      • Vladimir G. Makhankov
      Pages 149-181

    2. Bose Gas, Integrable Nonlinear Schrödinger Equations and Landaulifshitz Models

      • Vladimir G. Makhankov
      Pages 183-209

    3. φ6 Theory and Bose Drops

      • Vladimir G. Makhankov
      Pages 211-221

  6. Back Matter

    Pages 221-225
    Download chapter PDF

  7. Soliton-Like Solutions in One-Dimension

    1. The Class of Soliton Solutions to the Vector Version of the Nonlinear Schrödinger Equation With Self-Consistent Potentials

      • Vladimir G. Makhankov
      Pages 227-253

    2. The Existence of Soliton-Like Solutions

      • Vladimir G. Makhankov
      Pages 255-266

    3. Soliton Stability

      • Vladimir G. Makhankov
      Pages 267-287

  8. Phenomenology of D = 1 Solitons

    1. Dynamics of the Formation and Interaction of Plane Solitons

      • Vladimir G. Makhankov
      Pages 289-322

    2. Structural Stability and Pinning of Solitons

      • Vladimir G. Makhankov
      Pages 323-344

    3. Dynamical Structure Factors of Soliton Gas

      • Vladimir G. Makhankov
      Pages 345-389

  9. Many — dimensional solitons

    1. Existence and Stability

      • Vladimir G. Makhankov
      Pages 391-412

    2. Pulsons and Q-Solitons

      • Vladimir G. Makhankov
      Pages 413-427

    3. Interaction of Q-Solitons

      • Vladimir G. Makhankov
      Pages 429-445
Back to top

Authors and Affiliations

  • Laboratory of Computing Techniques and Automation, Joint Institute for Nuclear Research, Moscow, U.S.S.R.

    Vladimir G. Makhankov

Bibliographic Information

Publish with us

Policies and ethics

Back to top