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Volumn 128, Issue 1-2, 1998, Pages 137-140

On an analytical method and soliton-typed solutions for certain variable-coefficient partial differential equations in nonlinear mechanics

Author keywords

[No Author keywords available]

Indexed keywords

DISPERSION (WAVES); MECHANICS; NONLINEAR EQUATIONS; PARTIAL DIFFERENTIAL EQUATIONS; PLASMA WAVES; SOLITONS;

EID: 0031677356     PISSN: 00015970     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF01463164     Document Type: Article
Times cited : (19)

References (13)
  • 1
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    • Korteweg, D., de Vries, G.: On the change of form of long waves advancing in a rectangular canal, and on a new type of long stationary waves. Phil. Mag. 39, 422-443 (1895).
    • (1895) Phil. Mag. , vol.39 , pp. 422-443
    • Korteweg, D.1    De Vries, G.2
  • 2
    • 33846361348 scopus 로고
    • Interactions of "solitons" in a collisionless plasma and the recurrence of initial states
    • Zabusky, N., Kruskal, M.: Interactions of "solitons" in a collisionless plasma and the recurrence of initial states. Phys. Rev. Lett. 15, 240-243 (1965).
    • (1965) Phys. Rev. Lett. , vol.15 , pp. 240-243
    • Zabusky, N.1    Kruskal, M.2
  • 3
    • 0000262859 scopus 로고
    • On the stability of solitary waves in weakly dispersing media
    • Kadomtsev, B., Petviashvili, V.: On the stability of solitary waves in weakly dispersing media. Sov. Phys. Dokl. 15, 539-541 (1970).
    • (1970) Sov. Phys. Dokl. , vol.15 , pp. 539-541
    • Kadomtsev, B.1    Petviashvili, V.2
  • 4
    • 0018480221 scopus 로고
    • On the evolution of water waves
    • Ablowitz, M., Segur, H.: On the evolution of water waves. J. Fluid Mech. 92, 691-715 (1979).
    • (1979) J. Fluid Mech. , vol.92 , pp. 691-715
    • Ablowitz, M.1    Segur, H.2
  • 5
    • 0022199495 scopus 로고
    • An analytical model of periodic waves in shallow water
    • Segur, H., Finkel, A.: An analytical model of periodic waves in shallow water. Stud. Appl. Math. 73, 183-220 (1985).
    • (1985) Stud. Appl. Math. , vol.73 , pp. 183-220
    • Segur, H.1    Finkel, A.2
  • 7
    • 0038227401 scopus 로고
    • Painlevé analysis and reducibility to the canonical form for generalized Kadomtsev-Petviashvili equation
    • Brugarino, T., Greco, A.: Painlevé analysis and reducibility to the canonical form for generalized Kadomtsev-Petviashvili equation. J. Math. Phys. 32, 69-71 (1991).
    • (1991) J. Math. Phys. , vol.32 , pp. 69-71
    • Brugarino, T.1    Greco, A.2
  • 9
    • 0000464121 scopus 로고
    • On the generalized tanh method for the (2 + 1)-dimensional breaking soliton equation
    • Tian, B., Gao, Y. T.: On the generalized tanh method for the (2 + 1)-dimensional breaking soliton equation. Mod. Phys. Lett. 10 A, 2937-2941 (1995).
    • (1995) Mod. Phys. Lett. , vol.10 A , pp. 2937-2941
    • Tian, B.1    Gao, Y.T.2
  • 10
    • 0030171550 scopus 로고    scopus 로고
    • Beyond travelling waves: A new algorithm for solving nonlinear evolutions
    • Tian, B., Gao, Y. T.: Beyond travelling waves: a new algorithm for solving nonlinear evolutions. Comput. Phys. Comm. 95, 139-142 (1996).
    • (1996) Comput. Phys. Comm. , vol.95 , pp. 139-142
    • Tian, B.1    Gao, Y.T.2
  • 11
    • 0001469929 scopus 로고
    • Water waves and Korteweg-de Vries equation
    • Johnson, R.: Water waves and Korteweg-de Vries equation. J. Fluid Mech. 97, 701-719 (1980).
    • (1980) J. Fluid Mech. , vol.97 , pp. 701-719
    • Johnson, R.1
  • 12
    • 51249184242 scopus 로고
    • Generalized two-dimensional Burgers and Kadomtsev-Petviashvili equations and colliding solitons
    • Brugarino, T., Pantano, P.: Generalized two-dimensional Burgers and Kadomtsev-Petviashvili equations and colliding solitons. Lett. Nuovo Cimento 41, 187-190 (1984).
    • (1984) Lett. Nuovo Cimento , vol.41 , pp. 187-190
    • Brugarino, T.1    Pantano, P.2
  • 13
    • 51249171044 scopus 로고
    • Similarity solutions of the generalized Kadomtsev-Petviashvili-Burgers equations
    • Barrera, P., Brugarino, T.: Similarity solutions of the generalized Kadomtsev-Petviashvili-Burgers equations. Nuovo Cimento 92 B, 142-156 (1986).
    • (1986) Nuovo Cimento , vol.92 B , pp. 142-156
    • Barrera, P.1    Brugarino, T.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.