Pure and Applied Mathematics Quarterly
Volume 11 (2015)
Traveling wave-front solutions with small oscillations at infinity for a KdV6 equation under a small perturbation
Pages: 293 – 314
This paper studies the traveling wave solutions of a KdV6 equation under a small perturbation. Applying the dynamical system approach, we rigorously prove that this equation has a new wave solution—wave-front solution with small non-decaying oscillations at infinity (called thereafter generalized wave-front solution).
KdV6 equation, wave-front solution, homoclinic solution, periodic solution
2010 Mathematics Subject Classification
Primary 34C37, 35B32. Secondary 34C25, 74J35.