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Volumn 83, Issue 5, 2011, Pages

Solitonic propagation and interaction for a generalized variable-coefficient forced Korteweg-de Vries equation in fluids

Author keywords

[No Author keywords available]

Indexed keywords

ANALYTIC ANALYSIS; ANALYTIC SOLUTION; APPROXIMATE SOLUTION; BILINEAR FORM; DISSIPATIVE COEFFICIENTS; KORTEWEG-DE VRIES EQUATIONS; N-SOLITON SOLUTIONS; SOLITONIC PROPAGATION; SYMBOLIC COMPUTATION; VARIABLE COEFFICIENTS;

EID: 79961040282     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.83.056601     Document Type: Article
Times cited : (102)

References (64)
  • 5
    • 0141927316 scopus 로고    scopus 로고
    • IJESAN 0020-7225 10.1016/S0020-7225(03)00284-2
    • H. Demiray, Int. J. Eng. Sci. IJESAN 0020-7225 10.1016/S0020-7225(03) 00284-2 42, 203 (2004).
    • (2004) Int. J. Eng. Sci. , vol.42 , pp. 203
    • Demiray, H.1
  • 6
    • 33746375355 scopus 로고    scopus 로고
    • Forced Korteweg-de Vries equation in an elastic tube filled with an inviscid fluid
    • DOI 10.1016/j.ijengsci.2006.04.008, PII S0020722506000693
    • T. K. Gaik, Int. J. Eng. Sci. IJESAN 0020-7225 10.1016/j.ijengsci.2006. 04.008 44, 621 (2006). (Pubitemid 44118303)
    • (2006) International Journal of Engineering Science , vol.44 , Issue.10 , pp. 621-632
    • Gaik, T.K.1
  • 7
    • 67650642309 scopus 로고    scopus 로고
    • CSFOEH 0960-0779 10.1016/j.chaos.2009.03.067
    • H. Demiray, Chaos Soliton Fract. CSFOEH 0960-0779 10.1016/j.chaos.2009. 03.067 42, 1388 (2009).
    • (2009) Chaos Soliton Fract. , vol.42 , pp. 1388
    • Demiray, H.1
  • 9
    • 78049424079 scopus 로고    scopus 로고
    • CMAPDK 0898-1221 10.1016/j.camwa.2010.07.005
    • H. Demiray, Comput. Math. Appl. CMAPDK 0898-1221 10.1016/j.camwa.2010.07. 005 60, 1747 (2010).
    • (2010) Comput. Math. Appl. , vol.60 , pp. 1747
    • Demiray, H.1
  • 10
    • 0036577095 scopus 로고    scopus 로고
    • PLRAAN 1050-2947 10.1103/PhysRevA.65.053605
    • G. X. Huang, J. Szeftel, and S. H. Zhu, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.65.053605 65, 053605 (2002).
    • (2002) Phys. Rev. A , vol.65 , pp. 053605
    • Huang, G.X.1    Szeftel, J.2    Zhu, S.H.3
  • 11
    • 0017824879 scopus 로고
    • JFLSA7 0022-1120 10.1017/S0022112078001214
    • R. H. J. Grimshaw, J. Fluid Mech. JFLSA7 0022-1120 10.1017/ S0022112078001214 86, 415 (1978).
    • (1978) J. Fluid Mech. , vol.86 , pp. 415
    • Grimshaw, R.H.J.1
  • 12
    • 0036930580 scopus 로고    scopus 로고
    • Generation of undular bores in the shelves of slowly-varying solitary waves
    • DOI 10.1063/1.1507381
    • G. A. Ei and R. H. J. Grimshaw, Chaos CHAOEH 1054-1500 10.1063/1.1507381 12, 1015 (2002). (Pubitemid 36046847)
    • (2002) Chaos , vol.12 , Issue.4 , pp. 1015-1026
    • El, G.A.1    Grimshaw, R.H.J.2
  • 13
    • 0036132610 scopus 로고    scopus 로고
    • Solitary waves in an inhomogeneous rod composed of a general hyperelastic material
    • DOI 10.1016/S0165-2125(01)00083-X, PII S016521250100083X
    • H. H. Dai and Y. Huo, Wave Motion WAMOD9 0165-2125 10.1016/S0165-2125(01) 00083-X 35, 55 (2002). (Pubitemid 33122624)
    • (2002) Wave Motion , vol.35 , Issue.1 , pp. 55-69
    • Dai, H.-H.1    Huo, Y.2
  • 14
    • 70449707254 scopus 로고    scopus 로고
    • WAMOD9 1674-1056 10.1088/1674-1056/18/11/004
    • X. Y. Tang, Y. Gao, F. Huang, and S. Y. Lou, Chin. Phys. B WAMOD9 1674-1056 10.1088/1674-1056/18/11/004 18, 4622 (2009).
    • (2009) Chin. Phys. B , vol.18 , pp. 4622
    • Tang, X.Y.1    Gao, Y.2    Huang, F.3    Lou, S.Y.4
  • 16
    • 0038785055 scopus 로고
    • PYLAAG 0375-9601 10.1016/0375-9601(92)90363-Q
    • V. Matveev, Phys. Lett. A PYLAAG 0375-9601 10.1016/0375-9601(92)90363-Q 166, 209 (1992);
    • (1992) Phys. Lett. A , vol.166 , pp. 209
    • Matveev, V.1
  • 17
    • 0007647757 scopus 로고
    • CSFOEH 0960-0779 10.1016/0960-0779(94)E0097-9
    • M. Jaworski and J. Zagrodzinski, Chaos Soliton Fract. CSFOEH 0960-0779 10.1016/0960-0779(94)E0097-9 5, 2229 (1995);
    • (1995) Chaos Soliton Fract. , vol.5 , pp. 2229
    • Jaworski, M.1    Zagrodzinski, J.2
  • 18
    • 0038069132 scopus 로고    scopus 로고
    • Exact traveling wave solutions for some nonlinear evolution equations with nonlinear terms of any order
    • DOI 10.1142/S0129183103004243
    • Y. Chen, B. Li, and H. Q. Zhang, Int. J. Mod. Phys. C IJMPEO 0129-1831 10.1142/S0129183103004243 14, 99 (2003); (Pubitemid 36725615)
    • (2003) International Journal of Modern Physics C , vol.14 , Issue.1 , pp. 99-112
    • Chen, Y.1    Li, B.2    Zhang, H.-Q.3
  • 19
    • 0010125759 scopus 로고    scopus 로고
    • PHPAEN 1070-664X 10.1063/1.873111
    • G. Das and J. Sarma, Phys. Plasmas PHPAEN 1070-664X 10.1063/1.873111 5, 3918 (1998).
    • (1998) Phys. Plasmas , vol.5 , pp. 3918
    • Das, G.1    Sarma, J.2
  • 20
    • 0000205035 scopus 로고
    • PYLAAG 0375-9601 10.1016/0375-9601(87)90184-8
    • N. Joshi, Phys. Lett. A PYLAAG 0375-9601 10.1016/0375-9601(87)90184-8 125, 456 (1987);
    • (1987) Phys. Lett. A , vol.125 , pp. 456
    • Joshi, N.1
  • 21
    • 27844576381 scopus 로고
    • 0375-9601 10.1016/0375-9601(88)90186-7
    • V. Hlavaty, Phys. Lett. A 0375-9601 10.1016/0375-9601(88)90186-7 128, 335, (1988);
    • (1988) Phys. Lett. A , vol.128 , pp. 335
    • Hlavaty, V.1
  • 24
    • 33846026781 scopus 로고    scopus 로고
    • PYLAAG 0375-9601 10.1016/j.physleta.2006.11.021
    • W. P. Hong, Phys. Lett. A PYLAAG 0375-9601 10.1016/j.physleta.2006.11.021 361, 520 (2007);
    • (2007) Phys. Lett. A , vol.361 , pp. 520
    • Hong, W.P.1
  • 25
    • 24344476584 scopus 로고    scopus 로고
    • Cylindrical nebulons, symbolic computation and Bäcklund transformation for the cosmic dust acoustic waves
    • DOI 10.1063/1.1950120, 070703
    • B. Tian and Y.T. Gao, Phys. Plasmas (Lett.) 10.1063/1.1950120 12, 070703 (2005); (Pubitemid 41259097)
    • (2005) Physics of Plasmas , vol.12 , Issue.7 , pp. 1-4
    • Tian, B.1    Gao, Y.-T.2
  • 26
    • 17444419048 scopus 로고    scopus 로고
    • Spherical nebulons and Bäcklund transformation for a space or laboratory un-magnetized dusty plasma with symbolic computation
    • DOI 10.1140/epjd/e2005-00036-6
    • B. Tian and Y. T. Gao, Eur. Phys. J. D EPJDF6 1434-6060 10.1140/epjd/e2005-00036-6 33, 59 (2005); (Pubitemid 40550491)
    • (2005) European Physical Journal D , vol.33 , Issue.1 , pp. 59-65
    • Tian, B.1    Gao, Y.-T.2
  • 27
    • 19444377830 scopus 로고    scopus 로고
    • Spherical Kadomtsev-Petviashvili equation and nebulons for dust ion-acoustic waves with symbolic computation
    • DOI 10.1016/j.physleta.2005.03.035, PII S0375960105004251
    • B. Tian and Y. T. Gao, Phys. Lett. A PYLAAG 0375-9601 10.1016/j.physleta.2005.03.035 340, 243 (2005); (Pubitemid 40725535)
    • (2005) Physics Letters, Section A: General, Atomic and Solid State Physics , vol.340 , Issue.1-4 , pp. 243-250
    • Tian, B.1    Gao, Y.-T.2
  • 28
    • 33846353561 scopus 로고    scopus 로고
    • 0375-9601 10.1016/j.physleta.2006.10.094
    • B. Tian and Y. T. Gao, Phys. Lett. A 0375-9601 10.1016/j.physleta.2006. 10.094 362, 283 (2007).
    • (2007) Phys. Lett. A , vol.362 , pp. 283
    • Tian, B.1    Gao, Y.T.2
  • 30
    • 33751557942 scopus 로고    scopus 로고
    • Cosmic dust-ion-acoustic waves, spherical modified Kadomtsev-Petviashvili model, and symbolic computation
    • DOI 10.1063/1.2363352
    • Y. T. Gao and B. Tian, Phys. Plasmas PHPAEN 1070-664X 10.1063/1.2363352 13, 112901 (2006); (Pubitemid 44847796)
    • (2006) Physics of Plasmas , vol.13 , Issue.11 , pp. 112901
    • Gao, Y.-T.1    Tian, B.2
  • 31
    • 33846048792 scopus 로고    scopus 로고
    • (3+1)-dimensional generalized Johnson model for cosmic dust-ion-acoustic nebulons with symbolic computation
    • DOI 10.1063/1.2402916
    • Y. T. Gao and B. Tian, Phys. Plasmas (Lett.) 10.1063/1.2402916 13, 120703 (2006); (Pubitemid 46058333)
    • (2006) Physics of Plasmas , vol.13 , Issue.12 , pp. 120703
    • Gao, Y.-T.1    Tian, B.2
  • 32
    • 79051471140 scopus 로고    scopus 로고
    • EULEEJ 0295-5075 10.1209/0295-5075/77/15001
    • Y. T. Gao and B. Tian, Europhys. Lett. EULEEJ 0295-5075 10.1209/0295-5075/77/15001 77, 15001 (2007);
    • (2007) Europhys. Lett. , vol.77 , pp. 15001
    • Gao, Y.T.1    Tian, B.2
  • 33
    • 29644446719 scopus 로고    scopus 로고
    • Cylindrical Kadomtsev-Petviashvili model, nebulons and symbolic computation for cosmic dust ion-acoustic waves
    • DOI 10.1016/j.physleta.2005.09.040, PII S0375960105015057
    • Y. T. Gao and B. Tian, Phys. Lett. A PYLAAG 0375-9601 10.1016/j.physleta.2005.09.040 349, 314 (2006); (Pubitemid 43021058)
    • (2006) Physics Letters, Section A: General, Atomic and Solid State Physics , vol.349 , Issue.5 , pp. 314-319
    • Gao, Y.-T.1    Tian, B.2
  • 34
    • 33845981523 scopus 로고    scopus 로고
    • 0375-9601 10.1016/j.physleta.2006.11.019
    • Y. T. Gao and B. Tian, Phys. Lett. A 0375-9601 10.1016/j.physleta.2006. 11.019 361, 523 (2007).
    • (2007) Phys. Lett. A , vol.361 , pp. 523
    • Gao, Y.T.1    Tian, B.2
  • 36
    • 58649103982 scopus 로고    scopus 로고
    • PLEEE8 1539-3755 10.1103/PhysRevE.78.066613
    • W. J. Liu, B. Tian, and H. Q. Zhang, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.78.066613 78, 066613 (2008);
    • (2008) Phys. Rev. e , vol.78 , pp. 066613
    • Liu, W.J.1    Tian, B.2    Zhang, H.Q.3
  • 37
    • 66749133374 scopus 로고    scopus 로고
    • PLRAAN 1050-2947 10.1103/PhysRevA.79.063810
    • W. J. Liu, B. Tian, H. Q. Zhang, T. Xu, and H. Li, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.79.063810 79, 063810 (2009);
    • (2009) Phys. Rev. A , vol.79 , pp. 063810
    • Liu, W.J.1    Tian, B.2    Zhang, H.Q.3    Xu, T.4    Li, H.5
  • 40
    • 77952916170 scopus 로고    scopus 로고
    • PHPAEN 1751-8113 10.1088/1751-8113/43/24/245205
    • T. Xu and B. Tian, J. Phys. A PHPAEN 1751-8113 10.1088/1751-8113/43/24/ 245205 43, 245205 (2010);
    • (2010) J. Phys. A , vol.43 , pp. 245205
    • Xu, T.1    Tian, B.2
  • 41
    • 77952254746 scopus 로고    scopus 로고
    • JMAPAQ 0022-2488 10.1063/1.3301040
    • T. Xu and B. Tian, J. Math. Phys. JMAPAQ 0022-2488 10.1063/1.3301040 51, 033504 (2010);
    • (2010) J. Math. Phys. , vol.51 , pp. 033504
    • Xu, T.1    Tian, B.2
  • 43
    • 71249091683 scopus 로고    scopus 로고
    • PYLAAG 0375-9601 10.1016/j.physleta.2009.09.010
    • H. Q. Zhang, B. Tian, X. Lü, H. Li, and X. H. Meng, Phys. Lett. A PYLAAG 0375-9601 10.1016/j.physleta.2009.09.010 373, 4315 (2009);
    • (2009) Phys. Lett. A , vol.373 , pp. 4315
    • Zhang, H.Q.1    Tian, B.2    Lü, X.3    Li, H.4    Meng, X.H.5
  • 50
    • 27144521624 scopus 로고    scopus 로고
    • Wave interactions and the analysis of the perturbed Burgers equation
    • DOI 10.1016/j.physd.2005.08.001, PII S0167278905003325
    • A. Veksler and Y. Zarmi, Phys. D PDNPDT 0167-2789 10.1016/j.physd.2005. 08.001 211, 57 (2005); (Pubitemid 41491777)
    • (2005) Physica D: Nonlinear Phenomena , vol.211 , Issue.1-2 , pp. 57-73
    • Veksler, A.1    Zarmi, Y.2
  • 51
    • 70350586990 scopus 로고    scopus 로고
    • WAMOD9 0165-2125 10.1016/j.wavemoti.2009.06.014
    • Z. Y. Sun, Y.T. Gao, X. Yu, X. H. Meng, and Y. Liu, Wave Motion WAMOD9 0165-2125 10.1016/j.wavemoti.2009.06.014 46, 511 (2009).
    • (2009) Wave Motion , vol.46 , pp. 511
    • Sun, Z.Y.1    Gao, Y.T.2    Yu, X.3    Meng, X.H.4    Liu, Y.5
  • 52
    • 77950984881 scopus 로고    scopus 로고
    • PHSTBO 0031-8949 10.1088/0031-8949/81/04/045402
    • X. Yu, Y. T. Gao, Z. Y. Sun, and Y. Liu, Phys. Scr. PHSTBO 0031-8949 10.1088/0031-8949/81/04/045402 81, 045402 (2010).
    • (2010) Phys. Scr. , vol.81 , pp. 045402
    • Yu, X.1    Gao, Y.T.2    Sun, Z.Y.3    Liu, Y.4
  • 53
    • 35949040541 scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.27.1192
    • R. Hirota, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.27.1192 27, 1192 (1971);
    • (1971) Phys. Rev. Lett. , vol.27 , pp. 1192
    • Hirota, R.1
  • 54
    • 0001619573 scopus 로고
    • JUPSAU 0031-9015 10.1143/JPSJ.40.286
    • J. Satsuma, J. Phys. Soc. Jpn. JUPSAU 0031-9015 10.1143/JPSJ.40.286 40, 286 (1976).
    • (1976) J. Phys. Soc. Jpn. , vol.40 , pp. 286
    • Satsuma, J.1
  • 56
    • 0037719957 scopus 로고    scopus 로고
    • PLEEE8 1539-3755 10.1103/PhysRevE.67.026603
    • Z. Y. Xu, L. Li, Z. H. Li, and G. S. Zhou, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.67.026603 67, 026603 (2003);
    • (2003) Phys. Rev. e , vol.67 , pp. 026603
    • Xu, Z.Y.1    Li, L.2    Li, Z.H.3    Zhou, G.S.4
  • 57
    • 58149176116 scopus 로고    scopus 로고
    • PLRAAN 1050-2947 10.1103/PhysRevA.78.063833
    • L. Li, X. S. Zhao, and Z. Y. Xu, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.78.063833 78, 063833 (2008).
    • (2008) Phys. Rev. A , vol.78 , pp. 063833
    • Li, L.1    Zhao, X.S.2    Xu, Z.Y.3
  • 58
    • 46749099413 scopus 로고    scopus 로고
    • CPLEEU 0256-307X 10.1088/0256-307X/25/5/003
    • Z. D. Dai, Z. J. Liu, and D. L. Li, Chin. Phys. Lett. CPLEEU 0256-307X 10.1088/0256-307X/25/5/003 25, 1531 (2008);
    • (2008) Chin. Phys. Lett. , vol.25 , pp. 1531
    • Dai, Z.D.1    Liu, Z.J.2    Li, D.L.3
  • 59
    • 55949098139 scopus 로고    scopus 로고
    • AMHCBQ 0096-3003 10.1016/j.amc.2008.08.028
    • C. F. Liu and Z. D. Dai, Appl. Math. Comput. AMHCBQ 0096-3003 10.1016/j.amc.2008.08.028 206, 272 (2008).
    • (2008) Appl. Math. Comput. , vol.206 , pp. 272
    • Liu, C.F.1    Dai, Z.D.2
  • 62
    • 54849438541 scopus 로고    scopus 로고
    • 0003-4916 10.1016/j.aop.2008.04.012
    • Y. Zhang, J. B. Li, and Y. N. Lv, Ann. Phys. (NY) 0003-4916 10.1016/j.aop.2008.04.012 323, 3059 (2008).
    • (2008) Ann. Phys. (NY) , vol.323 , pp. 3059
    • Zhang, Y.1    Li, J.B.2    Lv, Y.N.3
  • 63
    • 36248952665 scopus 로고    scopus 로고
    • On a generalized Kadomtsev-Petviashvili equation with variable coefficients via symbolic computation
    • DOI 10.1088/0031-8949/76/5/001, PII S0031894907441351
    • L. L. Li, B. Tian, C. Y. Zhang, and T. Xu, Phys. Scr. PHSTBO 0031-8949 10.1088/0031-8949/76/5/001 76, 411 (2007). (Pubitemid 350131756)
    • (2007) Physica Scripta , vol.76 , Issue.5 , pp. 411-417
    • Li, L.-L.1    Tian, B.2    Zhang, C.-Y.3    Xu, T.4


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