EXACT SOLITON SOLUTIONS AND QUASI-PERIODIC WAVE SOLUTIONS TO THE FORCED VARIABLE-COEFFICIENT KdV EQUATION
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Publication:4914501
DOI10.1142/S0217979212500725zbMath1260.35193OpenAlexW2048364750MaRDI QIDQ4914501
Publication date: 12 April 2013
Published in: International Journal of Modern Physics B (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0217979212500725
soliton solutionsHirota bilinear methodperiodic wave solutionsforced variable-coefficient KdV equation
KdV equations (Korteweg-de Vries equations) (35Q53) Theta functions and abelian varieties (14K25) Traveling wave solutions (35C07) Soliton solutions (35C08)
Cites Work
- Bilinear approach to the quasi-periodic wave solutions of modified Nizhnik-Novikov-Vesselov equation in (2+1) dimensions
- Burgers hierarchy: multiple kink solutions and multiple singular kink solutions
- Computing solutions to a forced KdV equation
- Explicit bi-soliton-like solutions for a generalized KP equation with variable coefficients
- Analytic multi-soliton solutions of the generalized Burgers equation
- The breather-type and periodic-type soliton solutions for the \((2+1)\)-dimensional breaking soliton equation
- A study of solitary waves in a tapered aorta by using the theory of solitons
- A new generalized expansion method and its application in finding explicit exact solutions for a generalized variable coefficients KdV equation
- A Direct Method of Calculating Periodic Wave Solutions to Nonlinear Evolution Equations. I. Exact Two-Periodic Wave Solution
- EXACT ONE-PERIODIC AND TWO-PERIODIC WAVE SOLUTIONS TO HIROTA BILINEAR EQUATIONS IN (2+1) DIMENSIONS
- Quasi-periodic waves and an asymptotic property for the asymmetrical Nizhnik–Novikov–Veselov equation
- Time-dependent symmetries of variable-coefficient evolution equations and graded Lie algebras
- Graded Symmetry Algebras of Time-Dependent Evolution Equations and Application to the Modified KP Equations
- A new Bäcklund transformation and multi-soliton solutions to the KdV equation with general variable coefficients
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