메뉴 건너뛰기




Volumn 217, Issue 4, 2010, Pages 1678-1687

Solitons solutions for some nonlinear evolution equations

Author keywords

Generalized fifth order KdV equation; Modified Kawahara equation; Rational sine cosine functions method; Sine cosine method; Solitons; Tanh method

Indexed keywords

GENERALIZED FIFTH-ORDER KDV EQUATION; MODIFIED KAWAHARA EQUATION; SINE-COSINE FUNCTION; SINE-COSINE METHODS; TANH METHOD;

EID: 77957273011     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2009.09.061     Document Type: Article
Times cited : (12)

References (32)
  • 1
    • 0030284901 scopus 로고    scopus 로고
    • An automated tanh-function method for finding solitary wave solutions to non-linear evolution equations
    • E.J. Parkes, and B.R. Duffy An automated tanh-function method for finding solitary wave solutions to non-linear evolution equations Comput. Phys. Commun. 98 1996 288 300
    • (1996) Comput. Phys. Commun. , vol.98 , pp. 288-300
    • Parkes, E.J.1    Duffy, B.R.2
  • 2
    • 56949101097 scopus 로고    scopus 로고
    • Solitary wave solution for the generalized Kawahara equation
    • Anjan Biswas Solitary wave solution for the generalized Kawahara equation Appl. Math. Lett. 22 2 2009 08 210
    • (2009) Appl. Math. Lett. , vol.22 , Issue.2 , pp. 08-210
    • Biswas, A.1
  • 3
    • 33750813325 scopus 로고    scopus 로고
    • Abundant solitons solutions for several forms of the fifth-order KdV equation by using the tanh method
    • DOI 10.1016/j.amc.2006.02.047, PII S0096300306003377
    • A.M. Wazwaz Abundant solitons solutions for several forms of the fifth-order KdV equation by using the tanh method Appl. Math. Comput. 182 1 2006 283 300 (Pubitemid 44716290)
    • (2006) Applied Mathematics and Computation , vol.182 , Issue.1 , pp. 283-300
    • Wazwaz, A.-M.1
  • 4
    • 33846641360 scopus 로고    scopus 로고
    • The extended tanh method for new solitons solutions for many forms of the fifth-order KdV equations
    • A.M. Wazwaz The extended tanh method for new solitons solutions for many forms of the fifth-order KdV equations Appl. Math. Comput. 184 2007 1002 1014
    • (2007) Appl. Math. Comput. , vol.184 , pp. 1002-1014
    • Wazwaz, A.M.1
  • 5
    • 33750823850 scopus 로고    scopus 로고
    • Boussinesq-type equations and switching solitons
    • A. Parker, and J.M. Dye Boussinesq-type equations and switching solitons Proc. Inst. NAS Ukraine 43 1 2002 344 351
    • (2002) Proc. Inst. NAS Ukraine , vol.43 , Issue.1 , pp. 344-351
    • Parker, A.1    Dye, J.M.2
  • 6
    • 0001695541 scopus 로고
    • A super KdV equation: An integrable system
    • B.A. Kupershmidt A super KdV equation: an integrable system Phys. Lett. A 102 1984 213 215
    • (1984) Phys. Lett. A , vol.102 , pp. 213-215
    • Kupershmidt, B.A.1
  • 7
    • 2642531751 scopus 로고    scopus 로고
    • Symbolic computation of exact solutions expressible in hyperbolic and elliptic functions for nonlinear PDEs
    • DOI 10.1016/j.jsc.2003.09.004
    • D. Baldwin, U. Goktas, W. Hereman, L. Hong, R.S. Martino, and J.C. Miller Symbolic computation of exact solutions in hyperbolic and elliptic functions for nonlinear PDEs J. Symbol. Comput. 37 2004 669 705 (Pubitemid 38726327)
    • (2004) Journal of Symbolic Computation , vol.37 , Issue.6 , pp. 669-705
    • Baldwin, D.1    Goktas, U.2    Hereman, W.3    Hong, L.4    Martino, R.S.5    Miller, J.C.6
  • 8
    • 0001395372 scopus 로고
    • A method for finding N-soliton solutions for the KdV equation and KdV-like equation
    • K. Sawada, and T. Kotera A method for finding N-soliton solutions for the KdV equation and KdV-like equation Prog. Theor. Phys. 51 1974 1355 1367
    • (1974) Prog. Theor. Phys. , vol.51 , pp. 1355-1367
    • Sawada, K.1    Kotera, T.2
  • 9
    • 0000531288 scopus 로고
    • An extension of nonlinear evolution equations of the KdV (mKdV) type to higher orders
    • M. Ito An extension of nonlinear evolution equations of the KdV (mKdV) type to higher orders J. Phys. Soc. Jpn. 49 1980 771 778
    • (1980) J. Phys. Soc. Jpn. , vol.49 , pp. 771-778
    • Ito, M.1
  • 10
    • 84981754671 scopus 로고
    • Integrals of nonlinear equations of evolution and solitary waves
    • P.D. Lax Integrals of nonlinear equations of evolution and solitary waves Commun. Pure Appl. Math. 62 1968 467 490
    • (1968) Commun. Pure Appl. Math. , vol.62 , pp. 467-490
    • Lax, P.D.1
  • 11
    • 0031281728 scopus 로고    scopus 로고
    • Symbolic computation of conserved densities for systems of nonlinear evolution equations †
    • U. Goktas, and W. Hereman Symbolic computation of conserved densities for systems of nonlinear evolution equations J. Symbol. Comput. 24 1997 591 621 (Pubitemid 127168414)
    • (1997) Journal of Symbolic Computation , vol.24 , Issue.5 , pp. 591-622
    • Goktas, U.1    Hereman, W.2
  • 12
    • 0030829213 scopus 로고    scopus 로고
    • Symbolic methods to construct exact solutions of nonlinear partial differential equations
    • PII S0378475496000535
    • W. Hereman, and A. Nuseir Symbolic methods to construct exact solutions of nonlinear partial differential equations Math. Comput. Simul. 43 1997 13 27 (Pubitemid 127454061)
    • (1997) Mathematics and Computers in Simulation , vol.43 , Issue.1 , pp. 13-27
    • Hereman, W.1    Nuseir, A.2
  • 13
    • 33644938250 scopus 로고    scopus 로고
    • Solitary wave solutions for modified forms of Degasperis-Procesi and Camassa-Holm equations
    • DOI 10.1016/j.physleta.2005.12.036, PII S0375960105019109
    • A.M. Wazwaz Solitary wave solutions for modified forms of Degasperis-Procesi and Camassa-Holm equations Phys. Lett. A 352 2006 500 504 (Pubitemid 43410838)
    • (2006) Physics Letters, Section A: General, Atomic and Solid State Physics , vol.352 , Issue.6 , pp. 500-504
    • Wazwaz, A.-M.1
  • 14
    • 33947194364 scopus 로고    scopus 로고
    • New solitary wave solutions to the modified forms of Degasperis-Procesi and Camassa-Holm equations
    • DOI 10.1016/j.amc.2006.07.092, PII S0096300306009246
    • A.M. Wazwaz New solitary wave solutions to the modified forms of Degasperis-Procesi and Camassa-Holm equations Appl. Math. Comput. 186 2007 130 141 (Pubitemid 46435606)
    • (2007) Applied Mathematics and Computation , vol.186 , Issue.1 , pp. 130-141
    • Wazwaz, A.-M.1
  • 15
    • 0001229736 scopus 로고
    • Solitary wave solutions of nonlinear wave equations
    • W. Malfliet Solitary wave solutions of nonlinear wave equations Am. J. Phys. 60 7 1992 650 654
    • (1992) Am. J. Phys. , vol.60 , Issue.7 , pp. 650-654
    • Malfliet, W.1
  • 16
    • 0004483962 scopus 로고    scopus 로고
    • The tanh method: I. Exact solutions of nonlinear evolution and wave equations
    • W. Malfliet, and W. Hereman The tanh method: I. Exact solutions of nonlinear evolution and wave equations Phys. Script. 54 1996 563 568 (Pubitemid 126631599)
    • (1996) Physica Scripta , vol.54 , Issue.6 , pp. 563-568
    • Malfliet, W.1    Hereman, W.2
  • 17
    • 0000068096 scopus 로고    scopus 로고
    • The tanh method: II. Perturbation technique for conservative systems
    • W. Malfliet, and W. Hereman The tanh method: II. Perturbation technique for conservative systems Phys. Script. 54 1996 569 575 (Pubitemid 126631600)
    • (1996) Physica Scripta , vol.54 , Issue.6 , pp. 569-575
    • Malfliet, W.1    Hereman, W.2
  • 18
    • 3042750187 scopus 로고    scopus 로고
    • The tanh method for travelling wave solutions of nonlinear equations
    • A.M. Wazwaz The tanh method for travelling wave solutions of nonlinear equations Appl. Math. Comput. 154 3 2004 713 723
    • (2004) Appl. Math. Comput. , vol.154 , Issue.3 , pp. 713-723
    • Wazwaz, A.M.1
  • 19
    • 17944379186 scopus 로고    scopus 로고
    • The tanh method: Exact solutions of the Sine-Gordon and the Sinh-Gordon equations
    • A.M. Wazwaz The tanh method: exact solutions of the Sine-Gordon and the Sinh-Gordon equations Appl. Math. Comput. 49 2005 565 574
    • (2005) Appl. Math. Comput. , vol.49 , pp. 565-574
    • Wazwaz, A.M.1
  • 21
    • 0037429584 scopus 로고    scopus 로고
    • A study on nonlinear dispersive partial differential equations of compact and noncompact solutions
    • DOI 10.1016/S0096-3003(02)00005-X, PII S009630030200005X
    • A.M. Wazwaz A study on nonlinear dispersive partial differential equations of compact and noncompact solutions Appl. Math. Comput. 135 2-3 2003 399 409 (Pubitemid 35349683)
    • (2003) Applied Mathematics and Computation , vol.135 , Issue.2-3 , pp. 399-409
    • Wazwaz, A.-M.1
  • 22
    • 0037429574 scopus 로고    scopus 로고
    • A construction of compact and noncompact solutions for nonlinear dispersive equations of even order
    • DOI 10.1016/S0096-3003(02)00006-1, PII S0096300302000061
    • A.M. Wazwaz A construction of compact and noncompact solutions of nonlinear dispersive equations of even order Appl. Math. Comput. 135 2-3 2003 411 424 (Pubitemid 35349684)
    • (2003) Applied Mathematics and Computation , vol.135 , Issue.2-3 , pp. 411-424
    • Wazwaz, A.-M.1
  • 23
    • 0037370153 scopus 로고    scopus 로고
    • Compactons in a class of nonlinear dispersive equations
    • PII S0895717703000104
    • A.M. Wazwaz Compactons in a class of nonlinear dispersive equations Math. Comput. Model. 37 3-4 2003 333 341 (Pubitemid 36257630)
    • (2003) Mathematical and Computer Modelling , vol.37 , Issue.3-4 , pp. 333-341
    • Wazwaz, A.-M.1
  • 24
    • 17644381219 scopus 로고    scopus 로고
    • Variants of the two-dimensional boussinesq equation with compactons, solitons, and periodic solutions
    • DOI 10.1016/j.camwa.2004.06.029, PII S0898122105000349
    • A.M. Wazwaz Variants of the two-dimensional Boussinesq equations with compactons, solitons and periodic solutions Comput. Math. Appl. 49 2005 295 301 (Pubitemid 40556906)
    • (2005) Computers and Mathematics with Applications , vol.49 , Issue.2-3 , pp. 295-301
    • Wazwaz, A.-M.1
  • 25
    • 1842476790 scopus 로고    scopus 로고
    • New compactons, solitons and periodic solutions for nonlinear variants of the KdV and the KP equations
    • A.M. Wazwaz New compactons, solitons and periodic solutions for nonlinear variants of the KdV and the KP equations Chaos Solitons Compactons 22 1 2004 249 260
    • (2004) Chaos Solitons Compactons , vol.22 , Issue.1 , pp. 249-260
    • Wazwaz, A.M.1
  • 26
    • 18844373205 scopus 로고    scopus 로고
    • Special types of the nonlinear dispersive Zakharov-Kuznetsov equation with compactons, solitons and periodic solutions
    • A.M. Wazwaz Special types of the nonlinear dispersive Zakharov-Kuznetsov equation with compactons, solitons and periodic solutions Int. J. Comput. Math. 81 9 2004 1107 1119
    • (2004) Int. J. Comput. Math. , vol.81 , Issue.9 , pp. 1107-1119
    • Wazwaz, A.M.1
  • 27
    • 17644367140 scopus 로고    scopus 로고
    • A class of nonlinear fourth order variant of a generalized Camassa-Holm equation with compact and noncompact solutions
    • A.M. Wazwaz A class of nonlinear fourth order variant of a generalized Camassa-Holm equation with compact and noncompact solutions Appl. Math. Comput. 165 2005 485 501
    • (2005) Appl. Math. Comput. , vol.165 , pp. 485-501
    • Wazwaz, A.M.1
  • 28
    • 0037458753 scopus 로고    scopus 로고
    • Jacobi elliptic function solutions of nonlinear wave equations via the new sinh-Gordon equation expansion method
    • DOI 10.1088/0305-4470/36/7/311
    • Z. Yan Abundant families of Jacobi elliptic function solutions of the (2 + 1)-dimensional integrable Davey Stewartson-type equation via a new method Chaos, Solitons Fractals 18 2 2003 299 309 (Pubitemid 36508672)
    • (2003) Journal of Physics -London- a Mathematical and General , vol.36 , Issue.7 , pp. 1961-1972
    • Yan, Z.1
  • 30
    • 0037451839 scopus 로고    scopus 로고
    • An analytic study of compactons structures in a class of nonlinear dispersive equations
    • A.M. Wazwaz An analytic study of compactons structures in a class of nonlinear dispersive equations Math. Comput. Simul. 63 1 2003 35 44
    • (2003) Math. Comput. Simul. , vol.63 , Issue.1 , pp. 35-44
    • Wazwaz, A.M.1
  • 31
    • 50249185912 scopus 로고    scopus 로고
    • Adiabatic parameter dynamics of perturbed solitary waves
    • Mariana Antonova, and Anjan Biswas Adiabatic parameter dynamics of perturbed solitary waves Commun. Nonlinear Sci. Numer. Simul. 14 3 2009 734 748
    • (2009) Commun. Nonlinear Sci. Numer. Simul. , vol.14 , Issue.3 , pp. 734-748
    • Antonova, M.1    Biswas, A.2
  • 32
    • 55549094123 scopus 로고    scopus 로고
    • Perturbation of topological solitons due to sine-Gordon equation and its type
    • Anne L. Fabian, Russell Kohl, and Anjan Biswas Perturbation of topological solitons due to sine-Gordon equation and its type Commun. Nonlinear Sci. Numer. Simul. 14 4 2009 1227 1244
    • (2009) Commun. Nonlinear Sci. Numer. Simul. , vol.14 , Issue.4 , pp. 1227-1244
    • Fabian, A.L.1    Kohl, R.2    Biswas, A.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.