{"paper":{"title":"A new two-component integrable system with peakon solutions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"nlin.SI","authors_text":"Baoqiang Xia, Zhijun Qiao","submitted_at":"2012-11-25T04:57:39Z","abstract_excerpt":"A new two-component system with cubic nonlinearity and linear dispersion: \\begin{eqnarray*} \\left\\{\\begin{array}{l} m_t=bu_{x}+\\frac{1}{2}[m(uv-u_xv_x)]_x-\\frac{1}{2}m(uv_x-u_xv), \\\\ n_t=bv_{x}+\\frac{1}{2}[ n(uv-u_xv_x)]_x+\\frac{1}{2} n(uv_x-u_xv), \\\\m=u-u_{xx},~~ n=v-v_{xx}, \\end{array}\\right. \\end{eqnarray*} where $b$ is an arbitrary real constant, is proposed in this paper. This system is shown integrable with its Lax pair, bi-Hamiltonian structure, and infinitely many conservation laws. Geometrically, this system describes a nontrivial one-parameter family of pseudo-spherical surfaces. In "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1211.5727","kind":"arxiv","version":4},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}