Skip to main content
Log in

Bäcklund Transformation, Nonlinear Superposition Formulae and Infinite Conserved Laws of Benjamin Equation

  • Published:
Applied Mathematics and Mechanics Aims and scope Submit manuscript

Abstract

Bäcklund transformation, exact solitary wave solutions, nonlinear supperposition formulae and infinite conserved laws are presented by using TU-pattern. The algorithm involves wide applications for nonlinear evolution equations.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. TU Gui-zhang. Bäcklund transformations and conserved laws of Boussinesq equation[J]. Acta Mathematicae Applicatae Sinica,1981,4(1):63–68. (in Chinese)

    Google Scholar 

  2. LU Hong-jun, WANG Ming-xin. Exact soliton solutions of some nonlinear physical models[J]. Physics Letters A,1999,(255):249–252.

  3. LIU Chun-ping, ZHOU Ru-guang, ZHOU Ming-ru. A simple method to construct the traveling wave solutions to nonlinear evolution equations[J]. Physics Letters A,1998,(246):113–116.

  4. Kaup David J, Newell A C. An exact solution for a derivative nonlinear Schrödinger equation[J]. J Math Phys,1978,19(4):798–800.

    Google Scholar 

  5. ZHANG Jie-fang. Multiple soliton solutions of the dispersive long-wave equation[J]. Chin Phys Lett,1999,16(1):4–5.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Zhang, Hq., Zhang, Yf. Bäcklund Transformation, Nonlinear Superposition Formulae and Infinite Conserved Laws of Benjamin Equation. Applied Mathematics and Mechanics 22, 1127–1131 (2001). https://doi.org/10.1023/A:1016384930705

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1016384930705

Navigation