LEADER 03337nam 2200529 450 001 9910824716803321 005 20230814221933.0 010 $a3-11-054941-7 010 $a3-11-054963-8 024 7 $a10.1515/9783110549638 035 $a(CKB)4100000002964640 035 $a(MiAaPQ)EBC5158201 035 $a(DE-B1597)482459 035 $a(OCoLC)1029821376 035 $a(OCoLC)1038716997 035 $a(DE-B1597)9783110549638 035 $a(Au-PeEL)EBL5158201 035 $a(CaPaEBR)ebr11566832 035 $a(EXLCZ)994100000002964640 100 $a20180613d2018 uy 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 00$aSolitons /$fBoling Guo [and three others] 210 1$aBerlin ;$aBoston :$cWalter de Gruyter, GmbH,$d[2018] 210 4$d©2018 215 $a1 online resource (376 pages) 311 $a3-11-054924-7 320 $aIncludes bibliographical references. 327 $tFrontmatter -- $tContents -- $t1. Introduction -- $t2. Inverse scattering transform -- $t3. Asymptotic behavior to initial value problems for some integrable evolution nonlinear equations -- $t4. Interaction of solitons and its asymptotic properties -- $t5. Hirota method -- $t6. Bäcklund transformations and the infinitely many conservation laws -- $t7. Multi-dimensional solitons and their stability -- $t8. Numerical computation methods for some nonlinear evolution equations -- $t9. The geometric theory of solitons -- $t10. Global existence and blow up for the nonlinear evolution equations -- $t11. The soliton movements of elementary particles in nonlinear quantum field -- $t12. The theory of soliton movement of superconductive features -- $t13. The soliton movements in condensed state systems -- $tBibliography 330 $aThis book provides an up-to-date overview of mathematical theories and research results on solitons, presenting related mathematical methods and applications as well as numerical experiments. Different types of soliton equations are covered along with their dynamical behaviors and applications from physics, making the book an essential reference for researchers and graduate students in applied mathematics and physics. ContentsIntroductionInverse scattering transformAsymptotic behavior to initial value problems for some integrable evolution nonlinear equationsInteraction of solitons and its asymptotic propertiesHirota methodBäcklund transformations and the infinitely many conservation lawsMulti-dimensional solitons and their stabilityNumerical computation methods for some nonlinear evolution equationsThe geometric theory of solitonsGlobal existence and blow up for the nonlinear evolution equationsThe soliton movements of elementary particles in nonlinear quantum fieldThe theory of soliton movement of superconductive featuresThe soliton movements in condensed state systemsontents 606 $aSolitons 606 $aWave-motion, Theory of 615 0$aSolitons. 615 0$aWave-motion, Theory of. 676 $a530.12/4 700 $aGuo$b Boling, $0879545 702 $aGuo$b Boling 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910824716803321 996 $aSolitons$93929442 997 $aUNINA