Record ID | ia:introductiontoma0000fuji |
Source | Internet Archive |
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LEADER: 07417cam 2201057Ii 4500
001 ocn875858859
003 OCoLC
005 20220602013237.0
008 140406s2014 caua eob 000 0 eng d
006 m eo d
007 cr bn||m|||a||
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020 $a9781627052764$q(electronic)
020 $a1627052763$q(electronic)
020 $z9781627052757$q(print)
020 $z1627052755$q(print)
024 7 $a10.1088/978-1-627-05276-4$2doi
035 $a(OCoLC)875858859
037 $b01307586
050 4 $aQA927$b.F845 2014eb
072 7 $aPHU$2bicssc
072 7 $aSCI040000$2bisacsh
082 04 $a530.155355$223
100 1 $aFujimoto, Minoru,$eauthor.
245 10 $aIntroduction to the mathematical physics of nonlinear waves /$cMinoru Fujimoto.
264 1 $aSan Rafael [California] :$bMorgan & Claypool Publishers,$c[2014]
264 2 $aBristol [England] :$bIOP Publishing,$c[2014]
300 $a1 online resource (156 pages) :$billustrations
336 $atext$btxt$2rdacontent
337 $acomputer$bc$2rdamedia
338 $aonline resource$bcr$2rdacarrier
490 1 $aIOP concise physics,$x2053-2571
500 $a"Version: 20140301"--Title page verso.
504 $aIncludes bibliographical references.
505 0 $aNonlinearity in classical mechanics -- A pendulum -- Vibration by a nonlinear spring force -- A jumping rope -- Hyperbolic and elliptic functions -- Variation principle -- Buckling deformation of a rod.
505 8 $aWave propagation, singularities and boundaries -- Elastic waves along a linear string of infinite length -- Microwave transmission -- Schrödinger's equation -- Scattering by the potential V(x) =V [subscript]o sech [superscript]2 x -- Two-dimensional waves in inhomogeneous medium -- Sound propagation in air.
505 8 $aSolitons and adiabatic potentials -- The Korteweg-deVries equation -- Steady solutions of the Korteweg-deVries equation -- Developing equations of nonlinear vector waves -- Bargmann's theorem -- Riccati's theorem -- Properties of the Eckart potential in the soliton field -- Zabusky-Kruskal's computational analysis.
505 8 $aStructural phase transitions -- Initial uncertainties and transition anomalies -- Dynamical theory of collective motion -- Pseudopotential and sine-Gordon equation.
505 8 $aNonlinear waves -- Elemental waves -- Matrix formulation for nonlinear development -- Heat dissipation of wave motion -- Born-Huang transitions in crystals -- Symmetry of media for the Korteweg-deVries equation -- Soliton description.
505 8 $aScattering theory -- One-component waves -- Two-component scatterings.
505 8 $aMethod of inverse scatterings -- Coherent wave packets and Marchenko's equation -- Reflectionless multi-soliton potentials -- Two-component systems.
505 8 $aQuasi-static soliton states -- Developing the Korteweg-deVries equation -- Multi-soliton potentials in unsteady states -- The modified Korteweg-deVries equation, part 2 -- Thermodynamic instability and Breezer potentials -- The third-order Schrödinger equation.
505 8 $aThe Bäcklund transformation and sine-Gordon equations -- The Klein-Gordon equation -- The Bäcklund transformation -- The sine-Gordon equation -- Numerical analysis of the sine-Gordon equation -- Inverse scatterings and the Bäcklund transformation -- Scatterings by a pseudopotential.
505 8 $aMiscellaneous applications -- Surface waves -- Vortex motion in fluid media -- Plasma oscillation -- Laser light transmission through absorbing media -- Periodic lattices.
520 3 $aNonlinear physics is a well-established discipline in physics today, and this book offers a comprehensive account of the basic soliton theory and its applications. Although primarily mathematical, the theory for nonlinear phenomena in practical environments needs to be understood at upper undergraduate level, with particular attention given to the presence of media where nonlinearity takes place. This book addresses mathematical theories, but also suggests possible theoretical innovations for many issues, providing a stimulating reference for both students and researchers.
500 $aTitle from PDF title page (viewed on March 28, 2014).
650 0 $aNonlinear waves.
650 0 $aNonlinear wave equations.
650 0 $aMathematical physics.
650 6 $aOndes non linéaires.
650 6 $aÉquations d'onde non linéaires.
650 6 $aPhysique mathématique.
650 7 $aMathematical Physics.$2bicssc
650 7 $aSCIENCE$xPhysics$xMathematical & Computational.$2bisacsh
650 7 $aMathematical physics.$2fast$0(OCoLC)fst01012104
650 7 $aNonlinear wave equations.$2fast$0(OCoLC)fst01038819
650 7 $aNonlinear waves.$2fast$0(OCoLC)fst01038821
655 0 $aElectronic books.
655 4 $aElectronic books.
710 2 $aInstitute of Physics (Great Britain),$epublisher.
776 08 $iPrint version:$z9781627052757
830 0 $aIOP concise physics.
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